Generalized Hermite-Hadamard Type Inequalities Involving Local Fractional Integrals

2014/10/04 by Huixia Mo, Mo, Huixia
Mathematics · #26A33 #26B25 #28A80 #52A41 #90C25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical Inequalities and Applications #Mathematical functions and polynomials #math.CA #msc:26A33 #msc:26B25 #msc:28A80 #msc:52A41 #msc:90C25

paper · pdf · doi:10.48550/arxiv.1410.1062

In the paper, two new identities involving the local fractional integrals have been established. Using these two identities, we obtain some generalized Hermite-Hadamard type integral inequalities for the local differentiable generalized convex functions

arxiv created 2014/10/04 · openalex publication_date 2014/10/04 · arxiv updated 2014/10/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In the paper, two new identities involving the local fractional integrals have been established. Using these two identities, we obtain some generalized Hermite-Hadamard type integral inequalities for the local differentiable generalized convex functions.

Related

• On Hermite-Hadamard-Fejer type Inequality for Convex Functions via Fractional Integrals
• The Hermite-Hadamard's inequality for some convex functions via fractional integrals and related results
• Hermite-Hadamard-Fejer type inequalities for convex functions via fractional integrals
• Generalized Hermite-Hadamard-Fejer type inequalities for GA-convex\n functions via Fractional integral
• On new inequalities of Hermite-Hadamard-Fejer type for convex functions via fractional integrals