%0 Journal Article
%T Extended Hermite-Hadamard $(H-H)$ and Fejer's inequalities based on $(h_1,h_2,s)$-convex functions
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Yasin, Sabir
%A Misiran, Masnita
%A Omar, Zurni
%D 2022
%\ 03/01/2022
%V 13
%N 1
%P 2885-2895
%! Extended Hermite-Hadamard $(H-H)$ and Fejer's inequalities based on $(h_1,h_2,s)$-convex functions
%K inequality
%K Hermite-Hadamard (H-H)
%K Fejer
%K convex function
%R 10.22075/ijnaa.2022.6015
%X In this paper, $(h_1,h_2)$-convex and $s$-convex functions are merged to form $(h_1,h_2,s)$-convex function. Inequalities of the Hermite-Hadamard (H-H) and Fejer's types will then be extended by using the $(h_1,h_2,s)$-convex function and its derivatives. Some special cases for these extended H-H and Fejer's inequalities are also explored in order to get the previously specified results. The relationship between newly constructed Hermite-Hadamard $(H-H)$ and Fejer's types of inequalities with the average (mean) values are also discussed.
%U https://ijnaa.semnan.ac.ir/article_6015_f31de2ea969c8c698a5215bea39db2ce.pdf