Prof. Kristina Krulić Himmelreich, Ph.D.
Department
Department of Fundamental Natural and Engineering sciencesPersonal data
- Born 17.11.1982 in Zagreb
Academic education
- 2005 master degree in mathematics and physics education, Faculty of Science - Department of Mathematics in Zagreb
- 2010 defended dissertation "Generalizations and refinements of Hardy's inequality", under the supervision of academician Josip Pečarić and professor Lars-Erik Perrson, Luleå University, Luleå, Sweden at Faculty of Science - Department of Mathematics in Zagreb.
Employment and titles
- 2006 Faculty of Textile Technology, Section for Mathematics assistant
- 2010 senior assistant
- 2013 assistant professor
- 2018 associate professor
- 2023 full professor
Teaching activity
- Undergraduate courses Mathematics 1 and Statistics on TTF
- Study in Varaždin: Mathematics and Statistics
- Doctoral study: Selected topics in Mathematics
Research activity
- Natural sciences, mathematics, mathematical analysis
Scientific-professional work
- Monography: K.Krulić Himmelreich, J. Pečarić, D. Pokaz, Inequalities of Hardy and Jensen, Zagreb : Element, 2013
- co-author 39 scientific papers
- 1 professional paper
List of key scientific papers
1. K. Krulić Himmelreich, J. Pečarić, D. Pokaz, D. and M. Praljak, Generalizations of Hardy-Type Inequalities by Montgomery Identity and New Green Functions, Axioms 2023, 12, 434. https://doi.org/10.3390/axioms12050434
2. K. Krulić Himmelreich, Some new inequalities involving the generalized Hardy operator, Mathematica Pannonica New Series 28 /NS 2/ (2022) 2, 127-132.
3. A. Gudelj, K. Krulić Himmelreich, K., J. Pečarić, General Opial Type Inequality and New Green Functions, Axioms 2022, 11, 252. https://doi.org/10.3390/axioms11060252
4. K. Krulić Himmelreich, Generalizations of Hardy Type Inequalities by Taylor’s Formula, Mathematica Slovaca, vol. 72, no. 1, 2022, pp. 67-84. https://doi.org/10.1515/ms-2022-0005
5. K. Krulić Himmelreich, J. Pečarić, D. Pokaz, D. and M. Praljak, Generalizations of Hardy Type Inequalities by Abel–Gontscharoff’s Interpolating Polynomia,. Mathematics 2021, 9, 1724. https://doi.org/10.3390/math9151724
6. A. Barbir, K. Krulić Himmelreich, J. Pečarić, General Opial type inequality, Aequationes Math, 89 (2015), no. 3, 641-655.
7. K. Krulić Himmelreich, J. Pečarić, D. Pokaz, and M. Praljak, New results about Hardy-type inequality, J. Math. Inequal., 9 (2015) , 4; 1259-1269.
8. Iqbal, Sajid; Krulić Himmelreich, Kristina; Pečarić, Josip; Pokaz, Dora. n−exponential convexity of Hardy-type and Boas-type functionals. Journal of Mathematical Inequalities. 7 (2013) , 4; 739-750
9. Krulić, Kristina; Pečarić, Josip; Pokaz, Dora. Further bounds for Hardy type differences. Acta mathematica sinica-english series. 28 (2012) , 6; 1091-1102.
10. Elezović, Neven; Krulić, Kristina; Pečarić, Josip. Bounds for Hardy type differences. Acta mathematica sinica-english series. 27 (2011) , 4; 671-684
11. Iqbal, Sajid; Krulić, Kristina; Pečarić, Josip. On an inequality for convex functions with some applications on fractional derivatives and fractional integrals. Journal of Mathematical Inequalities. 5 (2011) , 2; 219-230
12. Krulić, Kristina; Pečarić, Josip; Pokaz, Dora. Boas-type inequalities via superquadratic functions. Journal of Mathematical Inequalities. 5 (2011) , 2; 275-286
13. Krulić, Kristina; Pečarić, Josip; Smoljak, Ksenija.New generalized Steffensen means. Collectanea mathematica. 62 (2011) , 2; 139-150
14. Krulić, Kristina; Pečarić, Josip; Smoljak, Ksenija. Fractional Steffensen Type Inequalities. Complex Variables and Elliptic Equations. 56 (2011) , 10/11; 975-990
15. Abramovich, Shoshana; Krulić, Kristina; Pečarić, Josip; Persson, Lars-Erik. Some new refined Hardy type inequalities with general kernels and measures. Aequationes mathematicae. 79 (2010) , 1-2; 157-172
16. Čižmešija, Aleksandra; Krulić, Kristina; Pečarić, Josip. Some new refined Hardy type inequalities with kernels. Journal of Mathematical Inequalities. 4 (2010) , 4; 481-503
17. Hansen, Frank; Krulić, Kristina; Pečarić, Josip; Persson, Lars-Erik. Generalized non-commutative Hardy and Hardy-Hilbert type inequalities. International journal of mathematics. 21 (2010) , 10; 1283-1295
18. Iqbal, Sajid; Krulić, Kristina; Pečarić, Josip. On an Inequality Of H.G. Hardy. Journal of inequalities and applications. 14 (2010) ; 1-23
University textbooks and other books
- 1.K. Krulić Himmelreich,K. Smoljak, Matematika 1- fakultetska skripta u e-obliku, Zagreb, Tekstilno-tehnološki fakultet, 2013.
- 2. K. Krulić Himmelreich, K. Smoljak, Ksenija, Statistika - fakultetska skripta u e-obliku, Zagreb, Tekstilno-tehnološki fakultet, 2013.