**Inequalities and Applications**

**Grant no. 5435 supported by ****Croatian Science Foundation**** ****(June 2014 - May 2018)**

**Abstract:**

The proposed research project belongs to the category of theoretical research in fundamental sciences, with the main purpose to stimulate gaining new knowledge. The general purpose of this project is to contribute to the systematic development of the theory of inequalities and to its integration in the current trends in mathematics, especially in the fields of real, functional and numerical analysis. Our aim is also to create and maintain a competent team of researchers whose relevant results and cooperation with other field experts from all over the world will contribute to the promotion of Croatian mathematics worldwide. Specific objectives are: -to improve, refine, interpolate, generalize Jensen's type inequalities and related inequalities such as Jensen-Steffensen, Hermite-Hadamard, Jensen-Mercer etc. -to prove some generalizations, improvements and refinements of some classical inequalities (Holder, Minkowski, Hilbert, Hardy, Ostrowski, Gruss, Opial, Chebyshev etc.) in various settings; -better understanding of different kinds of convexities (higher convexities, s-convexity and h-convexity, exponential convexity, local convexities, Schur-convexity, superquadracity etc.) with applications in inequalities; -to give further extensions and applications of the Mond-Pečarić method in operator theory, especially in obtaining reverse type operator inequalities; -to develop methods and applications of asymptotic expansions and series of special functions (asymptotic expansion and comparison of bivariate and multivariate means; research in series of Bessel and Bessel-like functions, integral expressions and summation formulae for Neumann and Kapteyn series, establishing sharp truncation error estimates occuring in sampling series approximations etc.). We expect to publish more than one hundred papers in this project period. One of our aims is to give overviews of the obtained research results. We plan to publish at least five monographs on these topics.

**Principal investigator:**

**Josip Pečarić**, Academician, Zagreb

**Team members:**

(Professor) Andrea Aglić Aljinović, (Doctor's degree) Maja Andrić, (Doctor's degree) Senka Banić, (Master's degree) Ana Barbir, (Doctor's degree) Josipa Barić, (Professor) Ilko Brnetić, (Doctor's degree) Tomislav Burić, (Professor) Vera Čuljak, (Professor) Neven Elezović, (Professor) Iva Franjić, (Professor) Božidar Ivanković, (Doctor's degree) Slavica Ivelić Bradanović, (Doctor's degree) Julije Jakšetić, (Master's degree) Rozarija Mikić (Jakšić), (Doctor's degree) Dragana Jankov Maširević, (Professor) Milica Klaričić Bakula, (Doctor's degree) Sanja Kovač, (Professor) Mario Krnić, (Doctor's degree) Kristina Krulić Himmelreich, (Doctor's degree) Neda Lovričević, (Doctor's degree) Anita Matković, (Doctor's degree) Jadranka Mićić Hot, (Doctor's degree) Zlatko Pavić, (Professor) Ivan Perić, (Doctor's degree) Jurica Perić, (Professor) Tibor Poganj, (Doctor's degree) Dora Pokaz, (Doctor's degree) Marjan Praljak, (Doctor's degree) Mihaela Ribičić Penava, (Professor) Mirna Rodić, (Doctor's degree) Ksenija Smoljak Kalamir, (Professor) Sanja Varošanec, (Professor) Ana Vukelić, (Professor) Predrag Vuković, (Master's degree) Lenka Mihoković (Vukšić)

** **

**Papers (published or accepted until May 2016):**

- A. Aglić Aljinović. Montgomery identity and Ostrowski type inequalities for Riemann-Liouville fractional integral. Journal of Mathematics. 2014 (2014)
- A. Aglić Aljinović. Approximations of the Mellin transform in the complex domain. Advances in Pure and Applied Mathematics. 5 (2014) , 3; 139-149
- M. Andrić, A. Barbir, G. Farid, J. Pečarić, More on certain Opial-type inequality for fractional derivatives and exponentially convex functions, Nonlinear Functional Analysis and Applications, 19 (4) (2014), 563-583
- G. Aras-Gazić, V. Čuljak, J. Pečarić, A. Vukelić, Cauchy's error representation of Lidstone interpolating polynomial and related results, Journal of Mathematical Inequalities, 9 (2015), 4, 1207-1225
- A.Baricz, T.Pogany, S.Ponnusamy, I.Rudes, Bounds on Jaeger functions, J.Math.Chem. 53(2015), 1257-1273
- I. Brnetić, A. Khan Khuram, J. Pečarić, Refinement of Jensen's Inequality with Applications to Cyclic Mixed Symmetric Means and Cauchy Means, Journal of Mathematical Inequalities, 9 (2015), 4, 1309-1321
- T.Burić, Asymptotic behaviour of the iterative pythagorean means, Rad Hrvat. Akad. Znan. Umjet. Mat. Znan. 19 (2015), 117-127
- Tomislav Burić, Neven Elezović, Asymptotic expansion of the arithmetic-geometric mean and related inequalities, Journal of Mathematical Inequalities, 9 (2015), 4, 1181-1190
- T. Burić, N. Elezović, L. Vukšić, Asimptotic expansions of the gamma function and Wallis function through polygamma functions, Integral Transforms and Special Functions, 25, 2 (2014), 163-172
- S. I. Butt, J. Pečarić, I. Perić, M. Praljak, Multidimensional reversed Hardy type inequalities for monotone functions, Asian-European J. Math. 07, 1450055 (2014)
- V. Čuljak, A remark on Schur-convexity of the mean of a convex function, Journal of Mathematical Inequalities, 9 (2015) , 4; 1133-1142
- N. Elezović, Asymptotic expansions of gamma and related functions, binomial coefficients, inequalities and means, Journal of Mathematical Inequalities, 9 (2015), 4, 1001-1054
- N. Elezović, Estimations of psi function and harmonic numbers, Appl. Math. Comput. 258 (2015) 192-205
- N. Elezović, Generalized Bernoulli polynomials and numbers, revisited, Mediterranian J. Math. 13 (2016), 1, 141-151
- N. Elezović, L. Mihoković, Inequalities between reciprocals of means, Sarajevo J. Math, 11 (2015), 2, 171-180
- N. Elezović, L. Vukšić, Asymptotic expansions of bivariate classical means and related inequalities, J. Math. Inequal, 8, 4 (2014), 707-724
- N. Elezović, L. Vukšić, Neuman-Sandor mean, asymptotic expansions and related inequalities, Journal of Mathematical Inequalities, 9 (2015), 4, 1337-1348
- I. Franjić, Monotonicity of error and Schur-convexity of a general two-point quadrature formula, accepted for publication in Mathematica Slovaca.
- I.Franjić, J.Pečarić, S.Tipurić-Spužević, Ostrowski type inequalities for functions whode higher order derivatives have a single point of nondifferentiability, Appl.Math. Comput. 245 (2014), 557-565
- S. Iqbal, K. Krulić Himmelreich, J. Pečarić, On refined Hardy-type inequalities with fractional integrals and fractional derivatives, Math. Slovaca, 64(4) (2014), 879-892.
- S. Iqbal, K. Krulić Himmelreich, J. Pečarić, On a new class of Hardy-type inequalities with fractional integrals and fractional derivatives, Rad HAZU, 18=(519) (2014), 91-106
- J. Jakšetić, J. Pečarić, M.Praljak, A monotone refinement of Levinson's inequality, JIA (2015), 2015:162
- J. Jakšetić, J.Pečarić, M. Praljak, Generalized Jensen-Steffensen and related inequalities, Journal of Mathematical Inequalities, 9 (2015), 4, 1287-1302
- D. Jankov Maširević, Summations of Schlömilch series containing Modified Bessel function of the second kind terms, Integral Transforms and Special Functions, (to appear).
- D. Jankov Maširević, T. K. Pogány, New summations of Neumann series of modified Bessel functions. Journal of Analysis, 23 (2015), 47-57
- D.Jankov Maširević, T. Pogany, Bounds of Čebyšev functional on C[0,1] function class, Journal of Analysis, 22 (2014), 107–117
- M. Klaričić Bakula, J. Pečarić, M. Ribičić Penava, A. Vukelić, Some Grüss type inequalities and corrected three-point quadrature formulae of Euler type, J. Inequal. Appl. 2015(76) (2015), DOI: 10.1186/s13660-015-0603-x
- S.Kovač, J.Pečarić, S.Tipurić-Spužević, New error bounds of the Chebyshev functional and application to the two-point integral formula, Journal of Mathematical Inequalities, 9 (2015), 4; 1323-1335
- A. Matković, J. Pečarić, J. Perić, A refinement of the Jessen-Mercer inequality and a generalization on convex hulls in R^k, Journal of Mathematical Inequalities, 9 (2015) , 4; 1093-1114
- J. Mićić, J. Pečarić, M. Praljak, Levinson's inequality for Hilbert space operators, Journal of Mathematical Inequalities, 9 (2015), 4; 1271-1285
- J.Mićić, J.Pečarić, On Levinson's operator inequality and its converses.
*Journal of Inequalities and Applications (2015), 2015:127* - R. Mikić, J. Pečarić, I. Perić, Y. Seo, The generalized Tsallis relative operator entropy via solidarity, Journal of Mathematical Inequalities, 10 (2016), 1; 269-283
- L. Nikolova, S. Varošanec, Functionals related to the DEC inequality, Journal of Mathematical Inequalities, 9 (2015) , 4; 1227-1243
- Z. Pavić, Certain Inequalities for Convex Functions, Journal of Mathematical Inequalities, 9 (2015) , 4; 1349-1364
- Z. Pavić, Functions like convex functions, Journal of Function Spaces, 2014 (2014), Article ID 919470, 1-8.
- J. Pečarić, A. Perušić, K. Smoljak, Generalizations of Steffensen's inequality by Abel-Gontscharoff polynomial, Khayyam Journal of Mathematics, 1(2015)45-61.
- J. Pečarić, M. Praljak, A. Witkowski, Generalized Levinson’s inequality and exponential convexity, Opuscula Math. 35, no. 3 (2015), 397–410.
- J. Pečarić, K. Smoljak Kalamir, New Steffensen type inequalities involving convex functions, Results Math. 67(1) (2015), 217-234.
- J. Pečarić, P. Vuković, Hilbert-Pachpatte-type inequality due to fractional differential inequalities, Annals of the University of Craiova, Mathematics and Computer Science Series, 41(2), 2014, 280-291
- T. K. Pogány, A. Saboor, S. Provost, The Marshall-Olkin exponential Weibull distribution, Hacettepe Journal of Mathematics and Statistics, 44(6) (2015), 1579-1594
- Ž. Tomovski, T. K. Pogány, H. M. Srivastava, Laplace type integral expressions for a certain three-parameter family of generalized Mittag-Leffler functions with applications, Journal of Franklin Institute: Engineering and Applied Mathematics 351 (2014), No. 12, 5234-5249.
- L. Vukšić, Seiffert means, asymptotic expansions and related inequalites, Rad Hrvat. Akad. Znan. Umjet. Mat. Znan., Vol. 19 = 523 (2015); 129-142
- Sz. András, Á.Baricz, T. K. Pogány, Ulam-Hyers stability of singular integral equations via weakly Picard operators, Fixed Point Theory 17 (2016), No. 1, 21-36
- G. Aras-Gazić, V. Čuljak, J. Pečarić, A. Vukelić, Cauchy’s error representation of Lidstone interpolating polynomial and related results, J. Math. Inequal., 9(2015) 1207-1225
- S. Banić, M. Klaričić Bakula, Jensen’s inequality for functions superquadratic on the coordinates, Journal of Mathematical Inequalities 9(4)(2015) 1365-1375
- Á.Baricz, T. K. Pogány, Extension of Karamata inequality for generalized inverse trigonometric functions, Studia Universitatis Babes-Bolyai. Mathematica 60(3)(2015), 379-384
- T. Burić, Asymptotic analysis of the iterative power means, J. Math. Anal. Appl. 433 (2016), 701-705.
- S.I.Butt, J. Pečarić, Weighted Popoviciu type inequalities via generalized Montgomery identities, Rad HAZU 19=523(2015) 69-89
- Saad Ihsan Butt, J. Pečarić, A. Vukelić, Generalization of Popoviciu-Type Inequalities Via Fink’s Identity, Mediterr. J. Math. Online
- S. I. Butt, K.A.Khan, J. Pečarić, Popoviciu type inequalities via Green function and generalized Montgomery identity, Math. Inequal. Appl. 18(4) (2015), 1519–1538
- S. I. Butt, K.A.Khan, J. Pečarić, , Popoviciu type inequalities via Green function and Taylor polynomial, Turkish J. Math 40(2016), 333-349
- C-P.Chen, N.Elezović, Asymptotic expansions and completely monotonic functions associated with the gamma, psi and polygamma functions, Applied mathematics and computation, 269(2015) 232-241
- G. Farid, J. Pečarić, Ž. Tomovski, Opial type inequalities for fractional integral operator involving Mittag-Leffler function, Fractional Differential Calculus, 5(1)(2015) 93-106
- Iva Franjić and Josip Pečarić, Refinements of the lower bounds of Jensen’s functional revisited, Miskolc Math. Notes 16 (2015), no.2, 833—842
- S. Iqbal, J. Pečarić, M. Samraiz, N. Sultana, Applications of refined Hardy-type inequalities, Math. Inequal. Appl. 18(4)(2015) 1539-1560
- S. Iqbal, K.Krulić Himmelreich, J. Pečarić, Refinements of Hardy-type integral inequalities with kernels, Punjab University Journal of Mathematics. 48 (2016) , 1; 11-20
- J.Jakšetić, J.Pečarić, M.Praljak, Generalized Jensen-Steffensen and related inequalities, J.Math.Inequal, 9(2015), 1287-1302
- J. Jakšetić, J. Pečarić, Steffensen's inequality for positive measures, Math. Inequal. Appl., 18(3) (2015), 1159-1170.
- J.Jakšetić, J.Pečarić, K.Smoljak Kalamir, Some measure theoretic aspects of Steffensen's and reversed Steffensen's inequality, J. Math. Inequal. 10(2016), 459-469
- M. A. Khan, Naveed Latif and Josip Pečarić, Generalization of majorization theorem via Abel-Gontscharoff polynomial, Rad HAZU 19=523 (2015) , 91-116
- Asif R. Khan, J. Pečarić, S. Varošanec, Positivity of sums and integrals for convex functions of higher order of n variable, Math. Inequal. Appl. 19(1)(2016), 221-247
- A.R.Khan, J.Pečarić, M.Praljak, Generalized Čebyšev and Ky Fan identities and inequalities,J. Math. Inequal. 10(2016), 185-204
- M.Klaričić Bakula, J. Pečarić, M. Ribičić Penava, A. Vukelić, New estimations of the remainder in three-point quadrature formulae of Euler type, J. Math. Inequal. 9(2015) 1143-1156
- M.Krnić, P.Vuković, A class of Hilbert-type inequalities obtained via improved Young inequality, Results in mathematics, online 23.10.2015
- Mario Krnić, Neda Lovričević, Josip Pečarić, Superadditivity of the Levinson functional and applications, Periodica mathematica Hungarica 71 (2015), 2; 166-178
- K. Krulić Himmelreich, J.Pečarić, D.Pokaz, M. Praljak, New results about Hardy-type inequality, J. Math. Inequal. 9(2015) 1258-1269
- K.Krulić Himmelreich, J.Pečarić, Some bounds for Hardy difference, Panamerican Mathematical Journal 25 (2015), 47-63
- K. Krulić Himmelreich, J.Pečarić, Some new Hardy type inequalities with general kernels II, Math. Inequal. Appl. 19(1)(2016) 73-84
- Lj. Kvesić, J. Pečarić, Minkowski type inequality for convex functions, J. Math. Inequal, 9(2015) 1191-1194
- J. Mićić, J. Pečarić, Some mappings related to Levinson's inequality for Hilbert space operators, Filomat (2015), to appear
- R.Mikić, J.Pečarić: Levinson’s type generalization of the Edmundson-Lah-Ribarič inequality, Mediterranean. J. Math, 13(2016) 483-496
- R. Mikić, J. Pečarić, I. Perić, Y. Seo, The generalized Tsallis relative operator entropy via solidarity, J.Math. Inequal. 10(1)(2016), 269-283.
- Nikolova, Varošanec, Chebyshev and Gruss type inequalities involving two linear functional and applications, Math. Inequal. Appl. 19(1)(2016), 127-143
- Ludmila Nikolova, Lars-Erik Persson and Sanja Varošanec, Continuous forms of classical inequalities, Mediterranean. J.Math. online
- Z.Pavić, Certain Inequalities for convex functions, J.Math.Inequal. 9(4) (2015) 1349-1364
- Zlatko Pavić, Presentation of Young's inequality, Journal of Inequalities and Special Functions, 6(3) (2015), 17-26.
- Z. Pavić, Improvements of the Hermite-Hadamard inequality, Journal of Inequalities and Applications, (2015), 2015:222
- Zlatko Pavić, Inequalities on the triangle, Journal of Mathematical Researh with Applications, 36(1) (2016), 51-60.
- J.Pečarić, M.Ribičić Penava, A. Vukelić, Bounds for the Chebyshev functional and applications to the weighted integral formulae, Applied Mathematics and computation, 268 (2015) 957-965
- J.Pečarić, A.Vukelić, Some inequalities for the Čebyšev functional and Euler two-point formulae, J. Math. Inequal, 9(4)(2015), 1195-1205
- I.Perić, On boundary domination in the Jensen-Mercer inequality, J.Math.Inequal. 9(4)(2015) 983-1000
- T. K. Pogány, Á. Baricz,Imre Rudas, Incomplete Krätzel function model of leaky aquifer and alike functions, Proceedings of IEEE 10th International Symposium on Applied Computational Intelligence and Informatics, May 21-23, Timisoara (2015), 323—326,
- A.Saboor, T. K. Pogány, Marshall-Olkin gamma-Weibull distribution with applications, Communication in Statistics- Theory and methods 45 (2016), No. 5, 1550-1563
- Varošanec, A thousand papers of Josip Pečarić, J.Math. Inequal 9(4)(2015) 961-981

**Monographs:**

- J. Barić, R. Bibi, M. Bohner, A. Nosheen, J. Pečarić, Jensen Inequalities on Time Scales, Theory and Applications, Element, Zagreb, 2015.

Croatian Scientific Bibliography (CROSBI)

**Conferences and events:**

- A. Aglić Aljinović, M. Matić, J. Pečarić, S. Tipurić-Spužević, Sokolov’s inequality and related results, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- A. Aglić Aljinović, J. Pečarić, Fractional Ostrowski type inequalities and applications, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- M. Andrić: On Opial-type inequalities for relatively convex functions, 3rd International Eurasian Conference on Mathematical Sciences and Applications, IECMSA-2014, Vienna, Austria, 25-28.08.2014.Book of abstracts, 520-520.
- M. Andrić, A. Barbir, J. Pečarić, G. Farid, Generalizations of the Mitrinovć-Pečarić inequality for q-convex functions, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- M. Andrić, A. Barbir, J. Pečarić, G. Roqia, Opial-type inequalities due to Godunova, Levin and Rozanova, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- S. Banić, Superquadracity on the coordinates, Mathematical Inequalities and Applications 2014, 22.-26.6.2014.,Trogir, Croatia.
- A. Barbir, K. Krulić Himmelreich, J. Pečarić, A new general Opial type inequality, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- J. Barić, M. Bohner, R. Mikić, J.Pečarić, Converses of Jessen’s inequality on time scales, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- J. Barić, R. Bibi, M. Bohner, R. Jakšić, J. Pečarić, Jensen's type integral inequalities on time scales, 3rd International Eurasian Conference on Mathematical Sciences and Applications, IECMSA2014 Vienna, Austria, 2014.
- I. Brnetić, Refinements of Jensen’s inequality and applications, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- T. Burić, Asymptotic expansions of the iterative means and related inequalities, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- V. Čuljak, J. Pečarić, A. Vukelić, G. Aras-Gazić, Cauchy’s error representation of Lidstone interpolating polynomial and related results, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- V. Čuljak, A remark on Scur-convexity of the mean of a convex function, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- V. Čuljak, G. Aras-Gazić, J. Pečarić, A. Vukelić: Generalization of Jensens inequality by Hermite polynomials and related results, Conference on Inequalities and Applications 2014, Hajdúszoboszló, Hungary.
- I. Franjić, J. Pečarić, S. Tipurić-Spužević, Ostrowski type inequalities for functions whose higher order derivatives have a single point of non-differentiability, Mathematical Inequalities and Applications 2014, 22.-26.6.2014.,Trogir, Croatia.
- I. Franjić, Schur-Convexity and Monotonicity of Error of a General Three-Point Quadrature Formula, 3rd International Euroasian Conference on Mathematical Sciences and Applications, 25-28.08.2014., Vienna, Austria.
- B. Ivanković, Estimating an enlargement of one reversed Jensen’s inequality, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- S. Ivelić Bradanović, Generalizations of converse Jensen's inequality and related results, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- J. Jakšetić, Steffensen inequality, higher order convexity and exponential convexity, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- J. Jakšetić, Generalization of Steffensen's inequality by Hermite polynomial, 5 Congress of the Mathematicians of Macedonia, Ohrid 24-27. 09. 2014. (Ohrid2014), Macedonia.
- J. Jakšetić, J. Pečarić, M. Praljak, Generalized Jensen-Steffensen and related inequalities, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- M. Klaričić Bakula, J. Pečarić, J. Perić, Extensions of the Hermite-Hadamard inequality with applications, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- M. Klaričić Bakula, J. Pečarić, M. Ribičić Penava, A. Vukelić, Some new bounds for three-point quadrature formulae of Euler type, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- M. Klaričić Bakula: Improvements of the converse Jensen inequality, Conference on Inequalities and Applications 2014, Hajdúszoboszló, Hungary.
- F. Kittaneh, M. Krnić, N. Lovričević, J. Pečarić, Jensen-type functional for the operators on a Hilbert space, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- S. Kovač, J. Pečarić, New error bound for Čebyšev functional and application to the weighted integral formula, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- M. Krnić, J. Pečarić, More precise weak majorization relations for the Jensen inequality and applications, 5 Congress of the Mathematicians of Macedonia, Ohrid 24-27. 09. 2014. (Ohrid2014), Macedonia.
- M. Krnić, Improvement variants of Young, Heinz and Holder inequalities for matrices, 3rd Int.Conference AMAT2015, 28.-31.5.2015. Ankara, Turkey
- K. Krulić Himmelreich, J. Pečarić, D. Pokaz, New results about Hardy-type inequality, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- Lj. Kvesić, J. Pečarić, Minkowski type inequality for convex functions, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- N. Lovričević, O. Hirzallah, F. Kittaneh, M. Krnić, J. Pečarić, On the eigenvalue inequalities for differences of means of Hilbert space operators, IECMSA-2014, Vienna, Austria, 25-28.08.2014.
- A. Matković, J. Pečarić, J. Perić, A refinement of the Jessen-Mercer inequality and a generalization on convex hulls in R^k, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- A. Matković, Operator versions of the Jensen-Mercer inequality (poster izlaganje), IECMSA-2014, Vienna, Austria, 25-28.08.2014.
- J. Mićić Hot, J. Pečarić, J. Perić, Refined Jensen’s operator inequality with condition on spectra, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- J. Mićić Hot, J. Pečarić, M. Praljak, Levinson’s inequality for Hilbert space operators, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- J. Mićić, Levinson's operator inequality, Zagreb Workshop on Operator theory, 3.-4.7.2014. Zagreb, Croatia.
- J. Mićić, J. Pečarić, Levinson's operator inequality and its converses,
*International Workshop on Operator Theory 2014*/Queen's University Belfast, 2014. - J. Mićić Hot, Mappings related to Jensen's and Levinson's operator inequalities, International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM 2015), 3.-6.6.2015, Istanbul, Turkey.
- R. Mikić, J. Pečarić, Levinson's type generalization of the Edmundson-Lah-Ribarič inequality, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- R. Mikić, J.Pečarić, M. Rodić Lipanović, Reverses of the Jensen-type inequalities for signed measures, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- L. Nikolova, S. Varošanec, Functionals related to DEC inequalities, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- Z. Pavić, Certain inequalities for convex functions, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- Z. Pavić, Geometric and analytic connections of Jensen's and Hermite-Hadamard's inequality, 3rd International Eurasian Conference on Mathematical Sciences and Applications 2014, Vienna, Austria
- Z. Pavić, The significance of the convex combination center, 6th Internationa Scientific and Expert Conference of the TEAM Society, 10.-11.11.2014. Kecskemet, Hungary
- J. Pečarić, A. Perušić, K. Smoljak Kalamir, Cerone’s generalizations of Steffensen’s inequality, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- J. Pečarić, K. Smoljak Kalamir, Generalized Steffensen type inequalities involving convex functiona, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- T. Poganj, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- M. Praljak, Generalization of Steffensen's inequality by way of two-point Taylor expansion, 5 Congress of the Mathematicians of Macedonia, Ohrid 24-27. 09. 2014. (Ohrid2014), Macedonia.
- S. Varošanec, More than 1000 papers of Professor Josip Pečarić, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.
- A. Vukelić, Some inequalities for the Čebyšev functional and general four-point quadrature formulae, 5 Congress of the Mathematicians of Macedonia, Ohrid 24-27.9.2014. (Ohrid2014)
- A. Vukelić, Bounds for the Chebyshev functional and applications to the weighted integral formulae, 3rd Int.Conference AMAT2015, 28.-31.5.2015. Ankara, Turkey
- A. Vukelić, Hermite interpolating polynomial and derived inequalities for the higher order convex function, 11th International Symposium on Geometric Function Theory and Applications 2015, 24.-27.8.2015, Ohrid, Macedonia.
- P. Vuković, Refinements of discrete Hilbert type inequalities with non-homogeneous kernel, Mathematical Inequalities and Applications 2014, 22.-26.6.2014., Trogir, Croatia.