Recursively defined refinements of the integral form of Jensen's inequality

DOI10.7153/MIA-19-90zbMath1353.26005OpenAlexW2547270844MaRDI QIDQ2835414

László Horváth, Josip E. Pečarić

Publication date: 2 December 2016

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-19-90

zbMATH Keywords

convex functionHermite-Hadamard inequalitygeneralized quasi-arithmetic meansclassical Jensen inequalitydiscrete Jensen inequality

Mathematics Subject Classification ID

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

Cites Work

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• Two mappings in connection to Hadamard's inequalities
• Two new mappings associated with Hadamard's inequalities for convex functions
• On certain integral inequalities related to Hermite-Hadamard inequalities
• Infinite refinements of the discrete Jensen's inequality defined by recursion
• Weighted form of a recent refinement of the discrete Jensen's inequality
• On the generalized weighted quasi-arithmetic integral mean

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