Title

Monotonicity and best approximation in Orlicz-Sobolev spaces with the Luxemburg norm

Abstract

Criteria for strict monotonicity, upper (lower) locally uniform monotonicity and uniform monotonicity of Orlicz-Sobolev spaces with the Luxemburg norm are given. Some applications to best approximation are presented. © 2008 Elsevier Inc. All rights reserved.

Publication Title

Journal of Mathematical Analysis and Applications

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