Generalization of Jensen's and Jensen-Steffensen's inequalities and their converses by Hermite's polynomial and majorization theorem

zbMath1377.26022MaRDI QIDQ1677347

G. Aras-Gazić, Josip E. Pečarić, Ana Vukelić

Publication date: 20 November 2017

Published in: Advances in Mathematics. Scientific Journal (Search for Journal in Brave)

zbMATH Keywords

Green functionJensen inequalitymajorizationChebyshev functionalHermite interpolating polynomial\(n\)-convex functionGrüss-type inequalityJensen-Steffensen inequalityOstrowsk-type inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving other types of functions (26D07)

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Jensen-Steffensen inequality for diamond integrals, its converse and improvements via Green function and Taylor's formula ⋮ Generalization of Jensen-type linear functional on time scales via lidstone polynomial

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