Ostrowski-type inequalities via \(h\)-convex functions with applications to special means

DOI10.1186/1029-242X-2013-326zbMath1290.26025arXiv1204.2921WikidataQ59299691 ScholiaQ59299691MaRDI QIDQ2437694

Mevlüt Tunç

Publication date: 13 March 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.2921

zbMATH Keywords

Ostrowski's inequality\(h\)-convexsuper-additivesuper-multiplicative

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 (18)

Inequalities of Hermite-Hadamard type ⋮ Ostrowski type inequalities for \(m\)- and \(( \alpha,m) \)-geometrically convex functions via Riemann-Louville fractional integrals ⋮ Schur, Hermite-Hadamard, and Fejér type inequalities for the class of higher-order generalized convex functions ⋮ On generalized Ostrowski, Simpson and trapezoidal type inequalities for co-ordinated convex functions via generalized fractional integrals ⋮ Some characterizations of h-convex functions ⋮ Ostrowski-type inequalities pertaining to Atangana-Baleanu fractional operators and applications containing special functions ⋮ Ostrowski and Jensen-type inequalities via \((s, m)\)-convex functions in the second sense. Ostrowski and Jensen-type inequalities and generalized convexity ⋮ Inequalities of Hermite-Hadamard type for \(GG\)-convex functions ⋮ Further inequalities for log-convex functions related to Hermite-Hadamard result ⋮ Ostrowski type inequalities for functions whose derivatives are \(h\)-convex in absolute value ⋮ Double integral inequalities of Hermite-Hadamard type for \(h\)-convex functions on linear spaces ⋮ Unnamed Item ⋮ Weighted Integral Inequalities for GG-Convex Functions ⋮ Inequalities of Jensen Type for φ-Convex Functions ⋮ Hermite-Hadamard type inequalities for (m, M)-Ψ-convex functions when Ψ = -ln ⋮ Unnamed Item ⋮ AN OSTROWSKI TYPE INEQUALITY FOR TWICE DIFFERENTIABLE MAPPINGS AND APPLICATIONS ⋮ LOCAL FRACTIONAL OSTROWSKI-TYPE INEQUALITIES INVOLVING GENERALIZED h-CONVEX FUNCTIONS AND SOME APPLICATIONS FOR GENERALIZED MOMENTS

Cites Work

• On \(h\)-convexity
• Properties of \(h\)-convex functions related to the Hermite-Hadamard-Fejér inequalities
• Ostrowski type inequalities for functions whose derivatives are \(s\)-convex in the second sense
• A superadditive property of Hadamard's gamma function
• Some remarks on \(s\)-convex functions

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