On the generalization some intgeral inequalities and their applications

2010/05/17 by Mehmet Zeki Sarıkaya, M. Z. Sarikaya, Sarikaya, M. Z. +3
Mathematics · #26D10 #26D15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications #Mathematical functions and polynomials #math.CA #msc:26D10 #msc:26D15

paper · pdf · doi:10.48550/arxiv.1005.2879

arxiv created 2010/05/17 · openalex publication_date 2010/05/17 · arxiv updated 2010/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, a general integral identity for convex functions is derived. Then, we establish new some inequalities of the Simpson and the Hermite-Hadamard's type for functions whose absolute values of derivatives are convex. Some applications for special means of real numbers are also provided.

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