Some Hadamard and Simpson type integral inequalities via s-convexity and their applications

2013/04/19 by Mevlüt Tunç, Mevlut Tunc, Tunc, Mevlut
Mathematics · #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications #math.CA

paper · pdf · doi:10.48550/arxiv.1304.5975

arxiv created 2013/04/19 · openalex publication_date 2013/04/19 · arxiv updated 2013/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this study, we establish and generalize some inequalities of Hadamard and Simpson type based on s-convexity in the second sense. Some applications to special means of positive real numbers are also given and generalized. Examples are given to show the results. The results generalize the integral inequalities in [11] and [13].

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