University of Jiroft | hasan barsam

Research

Title	On Quantum Hermite-Hadamard-Fejer Type Integral Inequalities via Uniformly Convex Functions
Type	Article
Keywords	Hermite-Hadamard inequality; q-integral inequality; q-calculus; uniformly convex function
Researchers	hasan barsam, somayeh Mirzadeh, Yamin Sayyari, Loredana Ciurdariu

Abstract

The main goal of this study is to provide new q-Fejer and q-Hermite-Hadamard type integral inequalities for uniformly convex functions and functions whose second quantum derivatives in absolute values are uniformly convex. Two basic inequalities as power mean inequality and Holder’s inequality are used in demonstrations. Some particular functions are chosen to illustrate the investigated results by two examples analyzed and the result obtained have been graphically visualized.