Bounds for the normalized Jensen-Mercer functional

DOI10.7153/jmi-03-52zbMath1185.26015OpenAlexW2097624916MaRDI QIDQ3405652

Josipa Barić, Anita Matković

Publication date: 11 February 2010

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/abstracts/jmi-03-52-abs.pdf

zbMATH Keywords

boundsconvex functionsJensen-Mercer inequalityJensen-Mercer functional

Mathematics Subject Classification ID

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

Related Items (8)

Hermite-Jensen-Mercer type inequalities for Caputo fractional derivatives ⋮ Converse Jensen-Steffensen inequality ⋮ Note on generalization of the Jensen-Mercer inequality by Taylor's polynomial ⋮ On a variant of Čebyšev's inequality of the Mercer type ⋮ Some Hermite-Jensen-Mercer type inequalities for \(k\)-Caputo-fractional derivatives and related results ⋮ Jensen-Mercer type inequalities for operator \(h\)-convex functions ⋮ Unnamed Item ⋮ Mercer type variants of the Jensen-Steffensen inequality

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