Necessary and sufficient conditions for discrete inequalities of Jensen–Steffensen type with applications

In this paper we give a necessary and sufficient condition for the discrete Jensen inequality to be satisfied for real (not necessarily nonnegative) weights. The result generalizes and completes the classical Jensen–Steffensen inequality. The validity of the strict inequality is studied. As applicat...

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Bibliographic Details

Published in:	Journal of inequalities and applications Vol. 2024; no. 1; pp. 1 - 16
Main Author:	Horváth, László
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 02.01.2024 Springer Nature B.V SpringerOpen
Subjects:	Analysis Applications of Mathematics Convex and strongly convex functions Discrete Jensen–Steffensen inequality Mathematics Mathematics and Statistics Quasi-arithmetic means Refinement Refinement Convex and strongly convex functions Discrete Jensen–Steffensen inequality Quasi-arithmetic means
ISSN:	1029-242X, 1025-5834, 1029-242X
Online Access:	Get full text
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