Jensen–Steffensen inequality for strongly convex functions

The Jensen inequality for convex functions holds under the assumption that all of the included weights are nonnegative. If we allow some of the weights to be negative, such an inequality is called the Jensen–Steffensen inequality for convex functions. In this paper we prove the Jensen–Steffensen ine...

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Veröffentlicht in:	Journal of inequalities and applications 2018, Vol.2018 (1), p.306-12, Article 306
1. Verfasser:	Bakula, M Klaričić
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Convex analysis Inequality Jensen inequality Jensen–Steffensen inequality Mathematics Mathematics and Statistics Strongly convex functions
Online-Zugang:	Volltext
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Zusammenfassung:	The Jensen inequality for convex functions holds under the assumption that all of the included weights are nonnegative. If we allow some of the weights to be negative, such an inequality is called the Jensen–Steffensen inequality for convex functions. In this paper we prove the Jensen–Steffensen inequality for strongly convex functions.
ISSN:	1025-5834 1029-242X 1029-242X
DOI:	10.1186/s13660-018-1897-2