Approximation by trigonometric polynomials in weighted Orlicz spaces
Daniyal M. Israfilov; Ali Guven
Studia Mathematica (2006)
- Volume: 174, Issue: 2, page 147-168
- ISSN: 0039-3223
Access Full Article
top
Abstract
topHow to cite
topDaniyal M. Israfilov, and Ali Guven. "Approximation by trigonometric polynomials in weighted Orlicz spaces." Studia Mathematica 174.2 (2006): 147-168. <http://eudml.org/doc/284532>.
@article{DaniyalM2006,
abstract = {We investigate the approximation properties of the partial sums of the Fourier series and prove some direct and inverse theorems for approximation by polynomials in weighted Orlicz spaces. In particular we obtain a constructive characterization of the generalized Lipschitz classes in these spaces.},
author = {Daniyal M. Israfilov, Ali Guven},
journal = {Studia Mathematica},
keywords = {Orlicz space; weighted Orlicz space; Boyd indices; modulus of smoothness; Muckenhoupt class; best approximation},
language = {eng},
number = {2},
pages = {147-168},
title = {Approximation by trigonometric polynomials in weighted Orlicz spaces},
url = {http://eudml.org/doc/284532},
volume = {174},
year = {2006},
}
TY - JOUR
AU - Daniyal M. Israfilov
AU - Ali Guven
TI - Approximation by trigonometric polynomials in weighted Orlicz spaces
JO - Studia Mathematica
PY - 2006
VL - 174
IS - 2
SP - 147
EP - 168
AB - We investigate the approximation properties of the partial sums of the Fourier series and prove some direct and inverse theorems for approximation by polynomials in weighted Orlicz spaces. In particular we obtain a constructive characterization of the generalized Lipschitz classes in these spaces.
LA - eng
KW - Orlicz space; weighted Orlicz space; Boyd indices; modulus of smoothness; Muckenhoupt class; best approximation
UR - http://eudml.org/doc/284532
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.