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Volume 35, Issue 4
On the Degree of Approximation of Continuous Functions by Means of Fourier Series in the Hölder Metric

Xhevat Z. Krasniqi & Bogdan Szal

Anal. Theory Appl., 35 (2019), pp. 392-404.

Published online: 2020-01

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  • Abstract

In this paper we prove two theorems on the degree of approximation of continuous functions by matrix means related to partial sums of a Fourier series in the Hölder metric. These theorems can be taken as counterparts of those previously obtained by T. Singh [3].

  • AMS Subject Headings

42A24, 42B05, 42B08

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

xhevat.krasniqi@uni-pr.edu (Xhevat Z. Krasniqi)

B.Szal@wmie. uz.zgora.pl (Bogdan Szal)

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  • RIS
  • TXT
@Article{ATA-35-392, author = {Krasniqi , Xhevat Z. and Szal , Bogdan}, title = {On the Degree of Approximation of Continuous Functions by Means of Fourier Series in the Hölder Metric}, journal = {Analysis in Theory and Applications}, year = {2020}, volume = {35}, number = {4}, pages = {392--404}, abstract = {

In this paper we prove two theorems on the degree of approximation of continuous functions by matrix means related to partial sums of a Fourier series in the Hölder metric. These theorems can be taken as counterparts of those previously obtained by T. Singh [3].

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2018-0006}, url = {http://global-sci.org/intro/article_detail/ata/13619.html} }
TY - JOUR T1 - On the Degree of Approximation of Continuous Functions by Means of Fourier Series in the Hölder Metric AU - Krasniqi , Xhevat Z. AU - Szal , Bogdan JO - Analysis in Theory and Applications VL - 4 SP - 392 EP - 404 PY - 2020 DA - 2020/01 SN - 35 DO - http://doi.org/10.4208/ata.OA-2018-0006 UR - https://global-sci.org/intro/article_detail/ata/13619.html KW - Matrix transformation, degree of approximation, Fourier series, Hölder metric. AB -

In this paper we prove two theorems on the degree of approximation of continuous functions by matrix means related to partial sums of a Fourier series in the Hölder metric. These theorems can be taken as counterparts of those previously obtained by T. Singh [3].

Krasniqi , Xhevat Z. and Szal , Bogdan. (2020). On the Degree of Approximation of Continuous Functions by Means of Fourier Series in the Hölder Metric. Analysis in Theory and Applications. 35 (4). 392-404. doi:10.4208/ata.OA-2018-0006
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