New estimates on generalization of some integral inequalities for\n s-convex functions and their applications

2012/07/30 by İmdat Işcan, Iscan, Imdat
Mathematics · #26A51 #26D15 #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.1207.7114

openalex publication_date 2012/07/30 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

In this paper, a new identity for differentiable functions is derived. Thus\nwe can obtain new estimates on generalization of Hadamard,Ostrowski and Simpson\ntype inequalities for functions whose derivatives in absolute value at certain\npower are s-convex (in the second sense). Some applications to special means of\nreal numbers are also given.\n

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