Generalized Convex Functions and Some Inequalities on Fractal Sets

Abstract

In the paper, we introduce the generalized convex function on fractal sets of real line numbers and study the properties of the generalized convex function. Based on these properties, we establish the generalized Jensen inequality and generalized Hermite-Hadamard inequality. Furthermore,some applications are given.

Cited by in corpus (2)

• Generalized s-convex function on fractal sets
• A Systematic Review on Hermite-Hadamard Inequality: Theory and Applications