On the approximation of conjugate functions from L p by some special matrix means of conjugate Fourier series

Radosława Krantz; Aleksandra Rzepka

Commentationes Mathematicae (2014)

  • Volume: 54, Issue: 2
  • ISSN: 2080-1211

Abstract

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The results corresponding to some theorems of W. Łenski and B. Szal are shown. From the presented pointwise results the estimates on norm approximation are derived. Some special cases as corollaries are also formulated.

How to cite

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Radosława Krantz, and Aleksandra Rzepka. "On the approximation of conjugate functions from $L^{p}$ by some special matrix means of conjugate Fourier series." Commentationes Mathematicae 54.2 (2014): null. <http://eudml.org/doc/292398>.

@article{RadosławaKrantz2014,
abstract = {The results corresponding to some theorems of W. Łenski and B. Szal are shown. From the presented pointwise results the estimates on norm approximation are derived. Some special cases as corollaries are also formulated.},
author = {Radosława Krantz, Aleksandra Rzepka},
journal = {Commentationes Mathematicae},
keywords = {degree of approximation; Fourier series; matrix means; conjugate function},
language = {eng},
number = {2},
pages = {null},
title = {On the approximation of conjugate functions from $L^\{p\}$ by some special matrix means of conjugate Fourier series},
url = {http://eudml.org/doc/292398},
volume = {54},
year = {2014},
}

TY - JOUR
AU - Radosława Krantz
AU - Aleksandra Rzepka
TI - On the approximation of conjugate functions from $L^{p}$ by some special matrix means of conjugate Fourier series
JO - Commentationes Mathematicae
PY - 2014
VL - 54
IS - 2
SP - null
AB - The results corresponding to some theorems of W. Łenski and B. Szal are shown. From the presented pointwise results the estimates on norm approximation are derived. Some special cases as corollaries are also formulated.
LA - eng
KW - degree of approximation; Fourier series; matrix means; conjugate function
UR - http://eudml.org/doc/292398
ER -

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