Approximation of functions from $L^p{\left(\omega \right)}_{\beta }$ by general linear operators of their Fourier series

Włodzimierz Łenski, and Bogdan Szal. "Approximation of functions from $L^{p}(ω)_{β}$ by general linear operators of their Fourier series." Banach Center Publications 95.1 (2011): 339-351. <http://eudml.org/doc/282506>.

@article{WłodzimierzŁenski2011,
abstract = {We show the general and precise conditions on the functions and modulus of continuity as well as on the entries of matrices generating the summability means and give the rates of approximation of functions from the generalized integral Lipschitz classes by double matrix means of their Fourier series. Consequently, we give some results on norm approximation. Thus we essentially extend and improve our earlier results [Acta Comment. Univ. Tartu. Math. 13 (2009), 11-24] and the result of S. Lal [Appl. Math. Comput. 209 (2009), 346-350].},
author = {Włodzimierz Łenski, Bogdan Szal},
journal = {Banach Center Publications},
keywords = {rate of approximation; summability of Fourier series; Lipschitz classes},
language = {eng},
number = {1},
pages = {339-351},
title = {Approximation of functions from $L^\{p\}(ω)_\{β\}$ by general linear operators of their Fourier series},
url = {http://eudml.org/doc/282506},
volume = {95},
year = {2011},
}

TY - JOUR
AU - Włodzimierz Łenski
AU - Bogdan Szal
TI - Approximation of functions from $L^{p}(ω)_{β}$ by general linear operators of their Fourier series
JO - Banach Center Publications
PY - 2011
VL - 95
IS - 1
SP - 339
EP - 351
AB - We show the general and precise conditions on the functions and modulus of continuity as well as on the entries of matrices generating the summability means and give the rates of approximation of functions from the generalized integral Lipschitz classes by double matrix means of their Fourier series. Consequently, we give some results on norm approximation. Thus we essentially extend and improve our earlier results [Acta Comment. Univ. Tartu. Math. 13 (2009), 11-24] and the result of S. Lal [Appl. Math. Comput. 209 (2009), 346-350].
LA - eng
KW - rate of approximation; summability of Fourier series; Lipschitz classes
UR - http://eudml.org/doc/282506
ER -