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Approximation by matrix means of double Vilenkin-Fourier series

  • István Blahota EMAIL logo and Károly Nagy
Published/Copyright: December 6, 2024
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Abstract

In the present paper, we discuss the rate of the approximation by the matrix transform of partial sums of double Vilenkin-Fourier series in Lp( Gm2 ) space (1 ≤ p < ∞) and in C( Gm2 ). We give an application for Lipschitz functions.

MSC 2010: 42C10

Acknowledgement

The authors would also like to thank the anonymous reviewers for their valuable help in improving the article.

  1. Communicated by Tomasz Natkaniec

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Received: 2024-03-04
Accepted: 2024-07-13
Published Online: 2024-12-06
Published in Print: 2024-12-15

© 2024 Mathematical Institute Slovak Academy of Sciences

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