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Approximation of Continuous Functions by Matrix Means of Hexagonal Fourier Series

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Abstract

Some estimates for the degree of approximation by matrix means of hexagonal Fourier series of \(\mathbf {H}\)-periodic continuous functions are obtained. The degree of approximation of \(\mathbf {H}\)-periodic Hölder continuous functions by these means is investigated in uniform and Hölder norms and some results about Riesz and Nörlund means of hexagonal Fourier series are concluded.

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  1. Department of Mathematics, Faculty of Arts and Sciences, Balikesir University, 10145, Balıkesir, Turkey

    Ali Guven

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  1. Ali Guven
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Guven, A. Approximation of Continuous Functions by Matrix Means of Hexagonal Fourier Series. Results Math 73, 18 (2018). https://doi.org/10.1007/s00025-018-0775-z

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  • DOI: https://doi.org/10.1007/s00025-018-0775-z

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