On some fractional Hermite-Hadamard inequalities via \(s\)-convex and \(s\)-Godunova-Levin functions and their applications

DOI10.1007/s40590-016-0087-9zbMath1381.26024OpenAlexW2276444356MaRDI QIDQ1694987

Mengmeng Li, Zhuoyan Gao, JinRong Wang

Publication date: 6 February 2018

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-016-0087-9

zbMATH Keywords

\(s\)-convex function\(s\)-Godunova-Levin functionfractional 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)

Related Items (1)

New Hadamard-type inequalities via $(s,m_{1},m_{2})$-convex functions

Cites Work

• Hermite-Hadamard-type inequalities for \(r\)-convex functions based on the use of Riemann-Liouville fractional integrals
• New inequalities of Hermite-Hadamard type via \(s\)-convex functions in the second sense with applications
• Hermite-Hadamard-type inequalities via \((\alpha ,m)\)-convexity
• 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
• A general multidimensional Hermite-Hadamard type inequality
• Inequalities for differentiable mappings with application to special means and quadrature formulæ
• Some Hadamard-like inequalities via convex and \(s\)-convex functions and their applications for special means
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Hermite-Hadamard type inequalities for the m- and (α, m)-logarithmically convex functions
• Generalized fractional Hermite-Hadamard inequalities for twice differentiable s-convex functions
• Hermite–Hadamard-type inequalities for Riemann–Liouville fractional integrals via two kinds of convexity
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