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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Vydané v:	Journal of inequalities and applications Ročník 2024; číslo 1; s. 1 - 16
Hlavný autor:	Horváth, László
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cham Springer International Publishing 02.01.2024 Springer Nature B.V SpringerOpen
Predmet:	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
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