Ohlin-Type Theorem for Convex Set-Valued Maps

Ohlin-Type Theorem for Convex Set-Valued Maps

A counterpart of the Ohlin theorem for convex set-valued maps is proved. An application of this result to obtain some inclusions related to convex set-valued maps in an alternative unified way is presented. In particular counterparts of the Jensen integral and discrete inequalities, the converse Jen...

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Veröffentlicht in:Resultate der Mathematik 2020-12, Vol.75 (4), Article 162
Hauptverfasser: Nikodem, Kazimierz, Rajba, Teresa
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:A counterpart of the Ohlin theorem for convex set-valued maps is proved. An application of this result to obtain some inclusions related to convex set-valued maps in an alternative unified way is presented. In particular counterparts of the Jensen integral and discrete inequalities, the converse Jensen inequality and the Hermite–Hadamard inequalities are obtained.
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-020-01292-3