On the logarithmic summability and convergence factors of Fourier series and some associated series

DOI10.1016/0022-247X(71)90243-5zbMath0216.13803OpenAlexW2043399416MaRDI QIDQ2545961

Masako Sato, Shin-ichi Izumi

Publication date: 1971

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(71)90243-5

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Summability and absolute summability of Fourier and trigonometric series (42A24) Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces (42-02)

Cites Work

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• Notes on Fourier analysis. XXXIX
• Integrability of trigonometrical series. I
• On the Logarithmic Mean of the Derived Conjugate Series of a Fourier Series
• On the Absolute Convergence of a Series Associated with a Fourier Series
• On the Convergence and Summability of a Series Associated with the Derived Fourier Series
• THE SUMMABILITY OF A FOURIER SERIES BY LOGARITHMIC MEANS
• On the Absolute Convergence of a Series Associated with a Fourier Series.
• THE SUMMABILITY BY LOGARITHMIC MEANS OF THE DERIVED FOURIER SERIES

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