|
|||||
|
|
Monotonicity and best approximation in Orlicz-Sobolev spaces with the Luxemburg norm |
|
| Authors: | Shutao Chen Xin He Henryk Hudzik Anna Kamińska |
| Affiliation: | a School of Mathematics and Computer Science, Harbin Normal University, Harbin 150080, PR China b Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland c Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152, United States |
| 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. |
| Keywords: | Orlicz-Sobolev spaces Strict monotonicity Upper (lower) locally uniform monotonicity Uniform monotonicity Best approximation |
| 本文献已被 ScienceDirect 等数据库收录！ | |