The direct and inverse problems of approximation theory in the subspace of weighted generalized grand Lebesgue spaces of 2π-periodic functions with the weights satisfying Muckenhoupt's condition are investigated. Appropriate direct and inverse theorems are proved. As a corollary some results on constructive characterization problems in generalized Lipschitz classes are presented.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm6555-12-2015,
author = {Daniyal M. Israfilov and Ahmet Testici},
title = {Approximation in weighted generalized grand Lebesgue spaces},
journal = {Colloquium Mathematicae},
volume = {144},
year = {2016},
pages = {113-126},
zbl = {1339.41007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm6555-12-2015}
}
Daniyal M. Israfilov; Ahmet Testici. Approximation in weighted generalized grand Lebesgue spaces. Colloquium Mathematicae, Tome 144 (2016) pp. 113-126. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm6555-12-2015/