On the uniform convergence of weighted trigonometric series

Bogdan Szal

Banach Center Publications (2011)

  • Volume: 92, Issue: 1, page 339-350
  • ISSN: 0137-6934

Abstract

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In the present paper we consider a new class of sequences called GM(β,r), which is the generalization of a class defined by Tikhonov in [15]. We obtain sufficient and necessary conditions for uniform convergence of weighted trigonometric series with (β,r)-general monotone coefficients.

How to cite

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Bogdan Szal. "On the uniform convergence of weighted trigonometric series." Banach Center Publications 92.1 (2011): 339-350. <http://eudml.org/doc/282081>.

@article{BogdanSzal2011,
abstract = {In the present paper we consider a new class of sequences called GM(β,r), which is the generalization of a class defined by Tikhonov in [15]. We obtain sufficient and necessary conditions for uniform convergence of weighted trigonometric series with (β,r)-general monotone coefficients.},
author = {Bogdan Szal},
journal = {Banach Center Publications},
keywords = {trigonometric series; uniform convergence; best approximation},
language = {eng},
number = {1},
pages = {339-350},
title = {On the uniform convergence of weighted trigonometric series},
url = {http://eudml.org/doc/282081},
volume = {92},
year = {2011},
}

TY - JOUR
AU - Bogdan Szal
TI - On the uniform convergence of weighted trigonometric series
JO - Banach Center Publications
PY - 2011
VL - 92
IS - 1
SP - 339
EP - 350
AB - In the present paper we consider a new class of sequences called GM(β,r), which is the generalization of a class defined by Tikhonov in [15]. We obtain sufficient and necessary conditions for uniform convergence of weighted trigonometric series with (β,r)-general monotone coefficients.
LA - eng
KW - trigonometric series; uniform convergence; best approximation
UR - http://eudml.org/doc/282081
ER -

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