Some Inequalities Using Generalized Convex Functions in Quantum Analysis

(m1,m2)-AG-Convex Functions and Some New Inequalities

In this manuscript, we introduce concepts of (m1,m2)-logarithmically convex (AG-convex) functions and establish some Hermite-Hadamard type inequalities of these classes of functions.

Generalized geometrically convex functions and inequalities

In this paper, we introduce and study a new class of generalized functions, called generalized geometrically convex functions. We establish several basic inequalities related to generalized geometrically convex functions. We also derive several new inequalities of the Hermite-Hadamard type for generalized geometrically convex functions. Several special cases are discussed, which can be deduced ...

On Some Inequalities for h-Convex Functions

In this paper some inequalities for h-convex functions are established. Mathematics Suject Classification: Primary 26D15; Secondary 26A51

Generalized Convex Functions and Second Order Differential Inequalities

Hermite-hadamard-type Inequalities for Generalized Convex Functions

The aim of the present paper is to extend the classical Hermite-Hadamard inequality to the case when the convexity notion is induced by a Chebyshev system.