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

Abstract 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...

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Detalhes bibliográficos

Autor principal:	László Horváth
Formato:	Artigo
Idioma:	Inglês
Publicado em:	SpringerOpen 2024-01-01
coleção:	Journal of Inequalities and Applications
Assuntos:	Convex and strongly convex functions Discrete Jensen–Steffensen inequality Quasi-arithmetic means Refinement
Acesso em linha:	https://doi.org/10.1186/s13660-023-03073-2
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