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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm174-2-3,
author = {Daniyal M. Israfilov and Ali Guven},
title = {Approximation by trigonometric polynomials in weighted Orlicz spaces},
journal = {Studia Mathematica},
volume = {173},
year = {2006},
pages = {147-168},
zbl = {1127.42003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm174-2-3}
}
Daniyal M. Israfilov; Ali Guven. Approximation by trigonometric polynomials in weighted Orlicz spaces. Studia Mathematica, Tome 173 (2006) pp. 147-168. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm174-2-3/