On the absolute summability of a Fourier series and its conjugate series

Author:
Fu Cheng Hsiang

Journal:
Proc. Amer. Math. Soc. **11** (1960), 32-38

MSC:
Primary 42.00

DOI:
https://doi.org/10.1090/S0002-9939-1960-0111977-0

MathSciNet review:
0111977

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References | Similar Articles | Additional Information

**[1]**H. C. Chow,*A further note on the summability of power series on its circle of convergence*, Ann. Acad. Sinica Taipei vol. 1 (1954) pp. 559-567. MR**0069911 (16:1099h)****[2]**-,*Some new criteria for the absolute summability of a Fourier series and its conjugate series*, J. London Math. Soc. vol. 30 (1955) pp. 439-448. MR**0070761 (17:32c)****[3]**T. Tsuchikura,*Absolute Cesàro summability of orthogonal series*, Tôhoku Math. J. vol. 5 (1953-1954) pp. 52-66. MR**0058738 (15:417e)****[4]**-,*Absolute Cesàro summability of orthogonal series*II, ibid. pp. 302-313.**[5]**F. T. Wang,*Note on the absolute summability of Fourier series*, J. London Math. Soc. vol. 16 (1941) pp. 174-176. MR**0005916 (3:231d)**

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DOI:
https://doi.org/10.1090/S0002-9939-1960-0111977-0

Article copyright:
© Copyright 1960
American Mathematical Society