On the absolute summability of the conjugate series of a Fourier series
Author:
T. Pati
Journal:
Proc. Amer. Math. Soc. 3 (1952), 852857
MSC:
Primary 42.4X
DOI:
https://doi.org/10.1090/S00029939195200519584
MathSciNet review:
0051958
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References  Similar Articles  Additional Information

L. S. Bosanquet, On the Cesàro summation of Fourier series and allied series, Proc. London Math. Soc. (2) vol. 37 (1934) pp. 1732.
 L. S. Bosanquet and J. M. Hyslop, On the absolute summability of the Allied series of a fourier series, Math. Z. 42 (1937), no. 1, 489–512. MR 1545688, DOI https://doi.org/10.1007/BF01160091 L. S. Bosanquet and H. Kestelman, The absolute convergence of a series of integrals, Proc. London Math. Soc. (2) vol. 45 (1939) pp. 8897. M. Fekete, On the absolute summability (A) of infinite series, Proceedings of the Edinburgh Mathematical Society (2) vol. 3 (1932) pp. 132134. E. Kogbetliantz, Sur les séries absolument sommables par la méthode des moyennes arithmétiques, Bull. Sci. Math. (2) vol. 49 (1925) pp. 234256. B. N. Prasad, The absolute summability (A) of Fourier series, Proceedings of the Edinburgh Mathematical Society (2) vol. 2 (1931) pp. 129134. , On the summability of Fourier series and the bounded variation of power series, Proc. London Math. Soc. (2) vol. 35 (1933) pp. 407424. E. C. Titchmarsh, The theory of functions, Oxford, 1939. J. M. Whittaker, The absolute summability of Fourier series, Proceedings of the Edinburgh Mathematical Society (2) vol. 2 (1930) pp. 15. W. H. Young, On the Fourier series of bounded functions, Proc. London Math. Soc. (2) vol. 12 (1913) pp. 4170.
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© Copyright 1952
American Mathematical Society