Converse Jensen inequality for strongly convex set-valued maps

DOI10.7153/jmi-2018-12-40zbMath1391.26032OpenAlexW2807616429WikidataQ129721688 ScholiaQ129721688MaRDI QIDQ4576085

Kazimierz Nikodem, Milica Klaričić Bakula

Publication date: 12 July 2018

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2018-12-40

zbMATH Keywords

Jensen inequalitystrongly convex functionsconverse Jensen inequalitystrongly convex set-valued map

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51)

Related Items (8)

On Hermite-Hadamard type inequalities for harmonical h-convex interval-valued functions ⋮ Several Jensen-grüss inequalities with applications in information theory ⋮ Ohlin-type theorem for convex set-valued maps ⋮ Unnamed Item ⋮ A new refinement of the Jensen inequality with applications in information theory ⋮ New refinement of the Jensen inequality associated to certain functions with applications ⋮ Unnamed Item ⋮ Generalized cyclic Jensen and information inequalities

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• Strongly convex analysis
• GLOBAL ERROR BOUNDS WITH EXPONENTS FOR MULTIFUNCTIONS WITH SET CONSTRAINTS
• On Strongly Convex Functions and Related Classes of Functions
• Set-valued analysis

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