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Convergence of matrix transform means with respect to the Walsh–Kaczmarz system

  • István Blahota ORCID logo EMAIL logo and Dóra Nagy ORCID logo
Published/Copyright: May 7, 2024

Abstract

In this paper the Walsh system will be considered in the Kaczmarz rearrangement. We estimate the difference between matrix transform means of Walsh–Kaczmarz–Fourier series and the corresponding function in norm, and the upper estimation is given by the modulus of continuity of the function. We also prove norm convergence with similar conditions.

MSC 2020: 42C10

Acknowledgements

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

References

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Received: 2023-12-19
Revised: 2024-03-15
Published Online: 2024-05-07
Published in Print: 2025-06-01

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