Some Generalizations of Hermite-Hadamard type Integral Inequalities and their Applications

2013/04/09 by Muhammad Muddassar, Muddassar, Muhammad, Muhammad I. Bhatti +2
Mathematics · #26A51 #26D10 #26D15 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Mathematical functions and polynomials #Mathematics and Applications #math.FA #msc:26A51 #msc:26D10 #msc:26D15

paper · pdf · doi:10.48550/arxiv.1304.2762

12 Pages

arxiv created 2013/04/09 · openalex publication_date 2013/04/09 · arxiv updated 2013/04/11 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite- Hadamard integral inequality for mappings whose derivatives are (h -(α?;m))-convex.The generalized integral inequalities contribute some better estimates than some already presented. The inequalities are then applied to numerical integration and some special means.

Citations

• On h-convexity

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