Cauchy type means for some generalized convex functions

DOI10.1186/s13660-021-02647-2zbMath1504.26088OpenAlexW3175965591MaRDI QIDQ2072890

Naila Mehreen, Matloob Anwar

Publication date: 26 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-021-02647-2

zbMATH Keywords

Jensen inequalityCauchy mean value theoremHermite-Hadamard inequality\(p\)-convex function\(s\)-convex function in first sense

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Means (26E60)

Cites Work

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• THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE
• Refinements of Jensen's inequality of Mercer's type for operator convex functions
• A variant of Jensen's inequality for convex functions of several variables
• Sharp Error Estimates for Interpolatory Approximation on Convex Polytopes

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