Approximation in weighted generalized grand Lebesgue spaces

Daniyal M. Israfilov, and Ahmet Testici. "Approximation in weighted generalized grand Lebesgue spaces." Colloquium Mathematicae 143.1 (2016): 113-126. <http://eudml.org/doc/283706>.

@article{DaniyalM2016,
abstract = {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.},
author = {Daniyal M. Israfilov, Ahmet Testici},
journal = {Colloquium Mathematicae},
keywords = {grand Lebesgue spaces; direct theorem; inverse theorem; modulus of smoothness},
language = {eng},
number = {1},
pages = {113-126},
title = {Approximation in weighted generalized grand Lebesgue spaces},
url = {http://eudml.org/doc/283706},
volume = {143},
year = {2016},
}

TY - JOUR
AU - Daniyal M. Israfilov
AU - Ahmet Testici
TI - Approximation in weighted generalized grand Lebesgue spaces
JO - Colloquium Mathematicae
PY - 2016
VL - 143
IS - 1
SP - 113
EP - 126
AB - 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.
LA - eng
KW - grand Lebesgue spaces; direct theorem; inverse theorem; modulus of smoothness
UR - http://eudml.org/doc/283706
ER -