A new characterization of convex φ-functions with a parameter

DOI10.7494/OpMath.2015.35.2.191zbMath1348.46033MaRDI QIDQ3459014

Bartosz Micherda

Publication date: 29 December 2015

Published in: Opuscula Mathematica (Search for Journal in Brave)

zbMATH Keywords

convex functionprojection operatorisotonic operatorOrlicz-Musielak spaceantiprojection operator

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (1)

On inequalities for convex functions

Cites Work

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• Orlicz spaces and modular spaces
• On the latticity of projection and antiprojection sets in Orlicz-Musielak spaces
• On an inequality related to the isotonicity of the projection operator
• On the property of four elements in modular spaces
• Every generating isotone projection cone is latticial and correct
• The properties of four elements in Orlicz-Musielak spaces
• A characterization of convex φ-functions
• Inequalities related to isotonicity of projection and antiprojection operators

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