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
Recommended Citation
Chen, S., He, X., Hudzik, H., & Kamińska, A. (2008). Monotonicity and best approximation in Orlicz-Sobolev spaces with the Luxemburg norm. Journal of Mathematical Analysis and Applications, 344 (2), 687-698. https://doi.org/10.1016/j.jmaa.2008.02.015
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