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

Authors

Shutao Chen, Harbin Normal University
Xin He, Harbin Normal University
Henryk Hudzik, Uniwersytet im. Adama Mickiewicza w Poznaniu
Anna Kamińska, University of MemphisFollow

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