New generalized Hermite-Hadamard type inequalities and applications to special means

DOI10.1186/1029-242X-2013-325zbMath1285.26014WikidataQ59301135 ScholiaQ59301135MaRDI QIDQ2437695

Yong Zhou, Chun Zhu, JinRong Wang

Publication date: 13 March 2014

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

zbMATH Keywords

monotonicityintegral inequalitiesHadamard fractional integrals\(s\)-\(e\)-conditiongeneralized Hermite-Hadamard inequalities

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

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Cites Work

• On the generalization of some integral inequalities and their applications
• New inequalities of Ostrowski type for mappings whose derivatives are \(s\)-convex in the second sense via fractional integrals
• Hermite-Hadamard-type inequalities via \((\alpha ,m)\)-convexity
• Hermite-Hadamard's type inequalities for operator convex functions
• On weighted Hermite-Hadamard inequalities
• The Hermite-Hadamard inequality for log-convex functions
• Hermite-Hadamard's type inequalities for convex functions of selfadjoint operators in Hilbert spaces
• Hadamard-type and Bullen-type inequalities for Lipschitzian functions and their applications
• The Hermite-Hadamard inequality in Beckenbach's setting
• Fejer and Hermite-Hadamard type inequalities for superquadratic functions
• On some inequalities of Hermite-Hadamard type via \(m\)-convexity
• A general multidimensional Hermite-Hadamard type inequality
• Hermite and convexity
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Hermite–Hadamard-type inequalities for Riemann–Liouville fractional integrals via two kinds of convexity

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