On Fejér Type Inequalities for (η1,η2)-Convex Functions

Author(s):

M. Rostamian Delavar* , S. Mohammadi Aslani , S. M. Vaezpour

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

In this paper we find a characterization type result for (η1,η2)-convex functions. The Fejér integral inequality related to (η1,η2)-convex functions is obtained as a generalization of Fejér inequality related to the preinvex and η-convex functions. Also some Fejér trapezoid and midpoint type inequalities are given in the case that the absolute value of the derivative of considered function is (η1,η2)-convex.

Keywords:

Generalized convex function , Fejér inequality , Trapezoid inequality , Mid-point inequality

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:18 Issue: 1, May 2023
Pages:
193 to 210
https://www.magiran.com/p2569134