Exponential Convex Functions with Respect to $s$

Author(s):

Mahir Kadakal *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper, we study the concept of exponential convex functions with respect to $s$ and prove Hermite-Hadamard type inequalities for the newly introduced this class of functions. In addition, we get some refinements of    the Hermite-Hadamard (H-H) inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is exponential convex with respect to $s$. Our results coincide with the results obtained previously in special cases.
Keywords:

convex function , Exponential convex functions with respect to s , Hermite-Hadamard inequality

Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:21 Issue: 2, Spring 2024
Pages:
275 to 287
https://www.magiran.com/p2700205