On the absolute logarithmic summability of a Fourier series and its differentiated series

Authors:
R. Mohanty and S. Mahapatra

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

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References | Similar Articles | Additional Information

**[1]**L. S. Bosanquet,*Note on the absolute summability*(*C*)*of a Fourier series*, J. London Math. Soc. vol. 11 (1936) pp. 11-16.**[2]**-,*The absolute Cesàro summability of a Fourier series, Proof of Theorem*1*with*. Proc. London Math. Soc. vol. 41 (1936) pp. 517-528.**[3]**R. Mohanty,*On the absolute Riesz summability of Fourier series and allied series*, Proc. London Math. Soc. (2)**52**(1951), 295–320. MR**0041266**, https://doi.org/10.1112/plms/s2-52.4.295**[4]**-,*On the summability**of a Fourier series*, J. London Math. Soc. vol. 25 (1950) pp. 57-72.**[5]**E. C. Titchmarsh,*Theory of functions*, Oxford, 1939, p. 409.**[6]**A. Zygmund,*Trigonometrical series*, 1935, p. 35.

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DOI:
https://doi.org/10.1090/S0002-9939-1956-0077677-X

Article copyright:
© Copyright 1956
American Mathematical Society