Some inequalities of Hermite--Hadamard type for functions whose second derivatives are boldsymbol (α,m )-convex

DOI10.22436/JNSA.009.01.13zbMath1329.26043OpenAlexW2783619347MaRDI QIDQ3457843

Ye Shuang, Yan Wang, Feng Qi

Publication date: 7 December 2015

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

Full work available at URL: http://www.tjnsa.com/includes/files/articles/Vol9_Iss1_139--148_Some_inequalities_of_Hermite--Hadam.pdf

zbMATH Keywords

Hölder integral inequalityHermite-Hadamard type inequalitysecond derivative\((\alpha, m)\)-convex function

Mathematics Subject Classification ID

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

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Generalized fractional integral inequalities of Hermite-Hadamard type for \((\alpha,m)\)-convex functions

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