On the Degree of Approximation of Continuous Functions by Means of Fourier Series in the Hölder Metric

On the Degree of Approximation of Continuous Functions by Means of Fourier Series in the Hölder Metric

Year:    2019

Author:    Xhevat Z. Krasniqi, Bogdan Szal

Analysis in Theory and Applications, Vol. 35 (2019), Iss. 4 : pp. 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].

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.OA-2018-0006

Analysis in Theory and Applications, Vol. 35 (2019), Iss. 4 : pp. 392–404

Published online:    2019-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Matrix transformation degree of approximation Fourier series Hölder metric.

Author Details

Xhevat Z. Krasniqi

Bogdan Szal

  1. Degree of convergence of Fourier series in Besov spaces

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    https://doi.org/10.1007/s41478-023-00563-w [Citations: 0]
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    Nigam, H. K. | Yadav, Saroj

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  3. Effectiveness of the Even-Type Delayed Mean in Approximation of Conjugate Functions

    Krasniqi, Xh. Z.

    Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), Vol. 58 (2023), Iss. 5 P.315

    https://doi.org/10.3103/S1068362323050035 [Citations: 3]
  4. On approximation by Abel–Poisson and conjugate Abel–Poisson means in Hölder metric

    Krasniqi, Xhevat Z.

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    https://doi.org/10.1007/s13370-024-01190-9 [Citations: 0]