On the absolute convergence of a series associated with a Fourier series
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- by R. Mohanty and S. Mohapatra PDF
- Proc. Amer. Math. Soc. 7 (1956), 1049-1053 Request permission
References
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L. S. Bosanquet, Proc. London Math. Soc. (2) vol. 31 (1936) p. 524.
—, Loc. cit. p. 520.
—, J. London Math. Soc. vol. 11 (1936) p. 13.
Bosanquet and Kestelman, Proc. London Math. Soc. (2) vol. 45 (1938) pp. 88-97.
Hardy and Littlewood, Proc. London Math. Soc. (2) vol. 24 (1926) p. 238, Theorem 5.
- 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 —, Loc. cit. p. 315, Theorem 5. —, Loc. cit. (2) vol. 51 (1949) p. 188. —, Proc. London Math. Soc. (2) vol. 51 (1949) p. 188, Theorem C’. A. Zygmund, Trigonometric series, 1935, p. 61.
Additional Information
- © Copyright 1956 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 7 (1956), 1049-1053
- MSC: Primary 42.2X
- DOI: https://doi.org/10.1090/S0002-9939-1956-0084071-4
- MathSciNet review: 0084071