Title of article :
Monotonicity and best approximation in Orlicz–Sobolev spaces
with the Luxemburg norm
Author/Authors :
Shutao Chen، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2008
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
Keywords :
Orlicz–Sobolev spaces , Strict monotonicity , Upper (lower) locally uniform monotonicity , Uniform monotonicity , Best approximation
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications