INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR ((α;m); log)-CONVEX FUNCTIONS ON CO-ORDINATES

DOI10.15393/j3.art.2015.2829zbMath1339.26026OpenAlexW2321218686MaRDI QIDQ2797599

Feng Qi, Bo-Yan Xi

Publication date: 5 April 2016

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15393/j3.art.2015.2829

zbMATH Keywords

convex functionco-ordinates\(((\alpha\log)\)-convex functionintegral inequality of the Hermite-Hadamard typem)

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Convexity of real functions in one variable, generalizations (26A51) Means (26E60) Other analytical inequalities (26D20)

Related Items (2)

New Jensen and Hermite-Hadamard type inequalities for \(h\)-convex interval-valued functions ⋮ Petrović’s inequality on coordinates and related results

Cites Work

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• On the Hadamard's inequality for convex functions on the co-ordinates in a rectangle from the plane
• Hermite-Hadamard type inequalities for extended \(s\)-convex functions on the co-ordinates in a rectangle
• Some new inequalities of Hermite-Hadamard type for \((\alpha_1, m_1)\)-\((\alpha_2, m_2)\)-convex functions on coordinates
• Some new Hermite--Hadamard type inequalities for geometrically quasi-convex functions on co-ordinates

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