Ostrowski type inequalities for \(m\)- and \(( \alpha,m) \)-geometrically convex functions via Riemann-Louville fractional integrals

DOI10.1007/s13370-015-0378-8zbMath1348.26013arXiv1211.6587OpenAlexW1728174302MaRDI QIDQ337971

Mevlüt Tunç

Publication date: 3 November 2016

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.6587

zbMATH Keywords

Ostrowski's inequality\(( \alpha,m)\)-geometrically convex functions\(m\)-geometrically convex functions

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lipschitz (Hölder) classes (26A16) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (5)

Further inequalities for the generalized k-g-fractional integrals of functions with bounded variation ⋮ 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 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

Cites Work

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