New general integral inequalities for some GA-convex and\n quasi-geometrically convex functions via fractional integrals

2013/07/11 by İmdat Işcan, Iscan, Imdat
Mathematics · #26A33 #26A51 #26D10 #26D15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.1307.3265

openalex publication_date 2013/07/11 · openalex created_date 2022/08/29 · openalex updated_date 2026/07/28

Abstract

In this paper, the author introduces the concept of the quasi-geometrically\nconvex and defines a new identity for fractional integrals. By using of this\nidentity, author obtains new estimates on generalization of Hadamard, Ostrowski\nand Simpson type inequalities for GA-s-convex, quasi-geometrically convex and\n(s,m)-GA-convex functions via Riemann Liouville fractional integral.\n

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