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

Xhevat Z. Krasniqi; Bogdan Szal

doi:10.4208/ata.OA-2018-0006

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

Authors

Xhevat Z. Krasniqi University of Prishtina, Faculty of Education, Department of Mathematics and Informatics, Avenue Mother Theresa, 10000 Prishtina, Kosova
Bogdan Szal University of Prishtina, Faculty of Education, Department of Mathematics and Informatics, Avenue Mother Theresa, 10000 Prishtina, Kosova

DOI:

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

Keywords:

Matrix transformation, degree of approximation, Fourier series, Hölder metric.

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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Published

2020-01-14

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Issue

Vol. 35 No. 4 (2019)

Section

Articles

How to Cite

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