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Integral Inequalities for Generalized Approximately h-convex Functions on Fractal Sets via Generalized Local Fractional Integrals

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Title: Integral Inequalities for Generalized Approximately h-convex Functions on Fractal Sets via Generalized Local Fractional Integrals

Authors: Maria Bibi, Muhammad Muddassar

Journal: Innovative journal of mathematics

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Year: 2022

Volume: 1

Issue: 3

Language: en

DOI: 10.55059/ijm.2022.1.3/48

Keywords: Generalized approximately h-convex functionsLocal fractional integral inequalityFractal SetsLocal Fractional Integrals

Categories
Fractal Geometry (10) Analysis (236) Robotics (1073) Medicine (22336) Medical Education (5299) Simulation (454) Mathematics (5170) Inequalities (60) Fractional Calculus (72) Surgery (16580)

Abstract

The present paper study the notion of generalized approximately h-convex function and define a novel generalized fractional integral operator on fractal sets. We derive local fractional integral inequalities involving newly defined generalized local fractionalintegral operator for generalized approximately h-convex function. Special cases of the results are also established.

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