University of Jiroft | hasan barsam

Research

Title	On Uniformly δ-Geometric Convex Functions
Type	Article
Keywords	Mercer inequality; uniformly δ-geometric convex function; Jensen’s inequality
Researchers	Yamin Sayyari, hasan barsam, Loredana Ciurdariu

Abstract

In this paper, we give some new Jensen, Jensen–Mercer, and Hermite–Hadamard inequalities for uniformly δ-geometric convex functions. In addition, some limit bounds for Caputo–Fabrizio fractional integral operators are established as an application in the case of uniformly δ-geometric convex functions. Some new examples and graphical representations are provided in order to illustrate the validity of our results.