Strongly M_φM_ψ-convex functions, the Hermite-Hadamard-Fejér inequality and related results



Abstract

We present Hermite-Hadamard-Fejér type inequalities for strongly MφMψ-convex functions. Some refinements of them and bounds for the integral mean of the product of two functions are also obtained.


Keywords

MN-convex function; strongly M_φM_ψ-convex function; the Hermite-Hadamard-Fejér inequality; quasi-arithmetic mean

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Published : 2023-11-22


BombardelliM., & VarošanecS. (2023). Strongly M_φM_ψ-convex functions, the Hermite-Hadamard-Fejér inequality and related results. Annales Mathematicae Silesianae, 38(2), 195-213. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/15453

Mea Bombardelli 
Department of Mathematics, Faculty of Science, University of Zagreb  Croatia
Sanja Varošanec  varosans@math.hr
Department of Mathematics, Faculty of Science, University of Zagreb  Croatia
https://orcid.org/0000-0002-9358-1830



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