New Generalizations of Ostrowski-Like Type Inequalities for Fractional Integrals

DOI10.5666/KMJ.2016.56.1.161zbMath1342.26006MaRDI QIDQ3185947

Çetin Yildiz, Mehmet Zeki Sarikaya, Muhamet Emin Özdemir

Publication date: 8 August 2016

Published in: Unnamed Author (Search for Journal in Brave)

zbMATH Keywords

Ostrowski inequalityHölder inequalitypower-mean inequalityRiemann-Liouville fractional integrationconvex(concave) functions

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (16)

New inequalities for generalized m-convex functions via generalized fractional integral operators and their applications ⋮ Weighted Ostrowski, trapezoid and midpoint type inequalities for Riemann-Liouville fractional integrals ⋮ Unnamed Item ⋮ Further inequalities for the generalized k-g-fractional integrals of functions with bounded variation ⋮ Some new generalizations of Ostrowski type inequalities for s-convex functions via fractional integral operators ⋮ Trapezoid type inequalities for generalized Riemann-Liouville fractional integrals of functions with bounded variation ⋮ Inequalities of Jensen's type for generalized k-g-fractional integrals of function $f$ for which the composite f ○ g^-1 is convex ⋮ Some new Ostrowski type fractional integral inequalities for generalized relative semi-(r; m, h)-preinvex mappings via Caputo k -fractional derivatives ⋮ Some new Ostrowski type fractional integral inequalities for generalized (s,m, φ)-preinvex functions via Caputo k -fractional derivatives ⋮ Some new fractional integral inequalities for s-convex functions ⋮ Some New Ostrowski Type Integral Inequalities via General Fractional Integrals ⋮ Some inequalities for the \(s\)-Godunova-Levin type functions ⋮ Some new inequalities for generalized convex functions pertaining generalized fractional integral operators and their applications ⋮ Some inequalities for the generalized k-g-fractional integrals of convex functions ⋮ Ostrowski and trapezoid type inequalities for Riemann-Liouville fractional integrals of absolutely continuous functions with bounded derivatives ⋮ Some Caputo k-fractional derivatives of Ostrowski type concerning (n+1)-differentiable generalized relative semi-(r;m,p,q,h₁,h₂)-preinvex mappings

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