On everywhere divergence of the strong \(\Phi\)-means of Walsh-Fourier series
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Publication:401347
DOI10.1016/j.jmaa.2014.07.016zbMath1297.42039arXiv1312.0855OpenAlexW2962755728MaRDI QIDQ401347
Grigori A. Karagulyan, György Gát, Ushangi Goginava
Publication date: 26 August 2014
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.0855
Convergence and divergence of series and sequences (40A05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)
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Cites Work
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- Strong approximation by Marcinkiewicz means of two-dimensional Walsh-Fourier series
- Notes on Fourier series: Strong approximation
- On limits of sequences of operators
- Everywhere divergent \(\Phi\)-means of Fourier series
- BMO-strong means of Fourier series
- On strong summability of Fourier series
- Strong approximation via Sidon type inequalities
- On the divergence of strong \(\Phi\)-means of Fourier series
- THE SPACE BMO AND STRONG MEANS OF FOURIER-WALSH SERIES
- On the strong approximation of Fourier series
- On everywhere divergence of trigonometric Fourier series
- Everywhere divergent Fourier series with respect to the Walsh system and with respect to multiplicative systems
- On the Convergence and Summability of Power Series on the Circle of Convergence (II)
