New refinement of the Jensen inequality associated to certain functions with applications

Abstract This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory. A more general refinement of Jensen inequality is prese...
Ausführliche Beschreibung

Gespeichert in:
Autor*in:

Adil Khan, Muhammad [verfasserIn]

Pečarić, Ðilda [verfasserIn]

Pečarić, Josip [verfasserIn]

Format:

E-Artikel

Sprache:

Englisch

Erschienen:

2020

Schlagwörter:

Jensen’s inequality

Convex functions

Hölder inequality

Means

Csiszár divergence

Shannon entropy

Übergeordnetes Werk:

Enthalten in: Journal of inequalities and applications - Heidelberg : Springer, 2005, 2020(2020), 1 vom: 19. März

Übergeordnetes Werk:

volume:2020 ; year:2020 ; number:1 ; day:19 ; month:03

Links:

Volltext

DOI / URN:

10.1186/s13660-020-02343-7

Katalog-ID:

SPR039148149

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