top
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.
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 -