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Second-order logarithmic methods for the summability of Fourier series

  • Xhevat Z. Krasniqi and Péter Kórus EMAIL logo
Published/Copyright: October 28, 2025
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Abstract

In this paper, we first present the second-order Riesz and Nörlund logarithmic summation methods, followed by a class of regular summation techniques based on second-order logarithmic averages. We then examine their applications to the pointwise convergence of Fourier series for continuous and integrable functions.

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Received: 2025-04-06
Revised: 2025-08-08
Accepted: 2025-09-09
Published Online: 2025-10-28

© 2025 Walter de Gruyter GmbH, Berlin/Boston

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