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

2013/04/26 by İmdat Işcan, Imdat Iscan, Iscan, Imdat
Mathematics · #26A33 #26A51 #26D10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Inequalities and Applications #math.CA #msc:26A33 #msc:26A51 #msc:26D10

paper · pdf · doi:10.48550/arxiv.1304.7227

12 pages

openalex publication_date 2013/04/26 · arxiv created 2014/08/14 · arxiv updated 2014/08/15 · openalex created_date 2022/08/09 · openalex updated_date 2026/07/28

Abstract

In this paper, a general integral identity for a twice differentiable functions is derived. By using of this identity, the author establishes some new Hermite-Hadamard type and Simpson type inequalities for differentiable (α,m)-convex functions via Riemann Liouville fractional integral.

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