New estimates on generalization of some integral inequalities for (alpha,m)-convex functions

2012/07/23 by İmdat Işcan, Imdat Iscan, Iscan, Imdat
Mathematics · #26A51 #26D15 #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications #math.CA #msc:26A51 #msc:26D15

paper · pdf · doi:10.48550/arxiv.1207.5422

10 pages

arxiv created 2012/07/23 · openalex publication_date 2012/07/23 · arxiv updated 2012/07/24 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28

Abstract

In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are (α,m)-convex.

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