On approximation properties of functions by means of Fourier and Faber series in weighted Lebesgue spaces with variable exponent
Mathematica Moravica, Tome 27 (2023) no. 1.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper the approximation of functions by linear means of Fourier series in weighted variable exponent Lebesgue spaces was studied. This result was applied to the approximation of the functions by linear means of Faber series in Smirnov classes with variable exponent defined on simply connected domain of the complex plane.
Mots-clés : Trigonometric approximation, Muckenhoupt weight, Lebesgue space with variable exponent, weighted modulus of smoothness, best approximation. 
@article{MM3_2023_27_1_a7,
     author = {Sadulla Z. Jafarov},
     title = {On approximation properties of functions by means of {Fourier} and {Faber} series in weighted {Lebesgue} spaces with variable exponent},
     journal = {Mathematica Moravica},
     pages = {97 - 112},
     publisher = {mathdoc},
     volume = {27},
     number = {1},
     year = {2023},
     url = {https://geodesic-test.mathdoc.fr/item/MM3_2023_27_1_a7/}
}
TY  - JOUR
AU  - Sadulla Z. Jafarov
TI  - On approximation properties of functions by means of Fourier and Faber series in weighted Lebesgue spaces with variable exponent
JO  - Mathematica Moravica
PY  - 2023
SP  - 97 
EP  -  112
VL  - 27
IS  - 1
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/MM3_2023_27_1_a7/
ID  - MM3_2023_27_1_a7
ER  - 
%0 Journal Article
%A Sadulla Z. Jafarov
%T On approximation properties of functions by means of Fourier and Faber series in weighted Lebesgue spaces with variable exponent
%J Mathematica Moravica
%D 2023
%P 97 - 112
%V 27
%N 1
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/MM3_2023_27_1_a7/
%F MM3_2023_27_1_a7
Sadulla Z. Jafarov. On approximation properties of functions by means of Fourier and Faber series in weighted Lebesgue spaces with variable exponent. Mathematica Moravica, Tome 27 (2023) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2023_27_1_a7/