Some Simpson type integral inequalities for functions whose third derivatives are (\(\alpha, m\))-GA-convex functions

DOI10.1016/J.JOEMS.2015.05.009zbMath1337.26046OpenAlexW2110830647MaRDI QIDQ274477

YuJiao Li, Ting-Song Du

Publication date: 22 April 2016

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2015.05.009

zbMATH Keywords

convex function(\(\alpha,m\))-GA-convex functionsSimpson type inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Means (26E60)

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Cites Work

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• Riemann-Liouville fractional Hermite-Hadamard inequalities. I: For once differentiable geometric-arithmetically \(s\)-convex functions
• Hermite–Hadamard type integral inequalities for geometric-arithmeticallys-convex functions
• Some integral inequalities of Simpson type for GA-ɛ-convex functions
• HERMITE-HADAMARD TYPE INEQUALITIES FOR GEOMETRIC-ARITHMETICALLY s-CONVEX FUNCTIONS
• An inequality of Simpson type

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