On generalization of different type inequalities for (α,m)-convex functions via fractional integrals

2013/07/31 by İmdat Işcan, Imdat Iscan, Iscan, Imdat
Mathematics · #26A33 #26A51 #26D10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications #math.CA #msc:26A33 #msc:26A51 #msc:26D10

paper · pdf · doi:10.48550/arxiv.1307.8291

10 pages

arxiv created 2013/07/31 · openalex publication_date 2013/07/31 · arxiv updated 2013/08/01 · openalex created_date 2022/10/07 · openalex updated_date 2026/07/28

Abstract

In this paper, new identity for fractional integrals have been defined. By using of this identity, we obtained new general inequalities containing all of Hadamard, Ostrowski and Simpson type inequalities for for functions whose derivatives in absolute value at certain power are (α,m)-convex via Riemann Liouville fractional integral.

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