Extended Hermite-Hadamard (H−H) and Fejer's inequalities based on (h1,h2,s) -convex functions

Author(s):

Sabir Yasin , Masnita Misiran , Zurni Omar

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, (h1,h2)-convex and s-convex functions are merged to form (h1,h2,s)-convex function. Inequalities of the Hermite-Hadamard (H-H) and Fejer's types will then be extended by using the (h1,h2,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.

Keywords:

Inequality , Hermite-Hadamard (H-H) , Fejer , Convex function

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:13 Issue: 1, Winter-Spring 2022
Pages:
2885 to 2895
https://www.magiran.com/p2380893