On the absolute logarithmic summability of a Fourier series and its differentiated series
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- by R. Mohanty and S. Mahapatra PDF
- Proc. Amer. Math. Soc. 7 (1956), 254-259 Request permission
References
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L. S. Bosanquet, Note on the absolute summability (C) of a Fourier series, J. London Math. Soc. vol. 11 (1936) pp. 11-16.
—, The absolute Cesàro summability of a Fourier series, Proof of Theorem 1 with $\beta > 1$. Proc. London Math. Soc. vol. 41 (1936) pp. 517-528.
- R. Mohanty, On the absolute Riesz summability of Fourier series and allied series, Proc. London Math. Soc. (2) 52 (1951), 295–320. MR 41266, DOI 10.1112/plms/s2-52.4.295 —, On the summability $|R,\log ,1|$ of a Fourier series, J. London Math. Soc. vol. 25 (1950) pp. 57-72. E. C. Titchmarsh, Theory of functions, Oxford, 1939, p. 409. A. Zygmund, Trigonometrical series, 1935, p. 35.
Additional Information
- © Copyright 1956 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 7 (1956), 254-259
- MSC: Primary 40.0X
- DOI: https://doi.org/10.1090/S0002-9939-1956-0077677-X
- MathSciNet review: 0077677