On the absolute summability of the conjugate series of a Fourier series
HTML articles powered by AMS MathViewer
- by T. Pati
- Proc. Amer. Math. Soc. 3 (1952), 852-857
- DOI: https://doi.org/10.1090/S0002-9939-1952-0051958-4
- PDF | Request permission
References
- L. S. Bosanquet, On the Cesàro summation of Fourier series and allied series, Proc. London Math. Soc. (2) vol. 37 (1934) pp. 17-32.
- 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 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. 88-97. M. Fekete, On the absolute summability (A) of infinite series, Proceedings of the Edinburgh Mathematical Society (2) vol. 3 (1932) pp. 132-134. E. Kogbetliantz, Sur les séries absolument sommables par la méthode des moyennes arithmétiques, Bull. Sci. Math. (2) vol. 49 (1925) pp. 234-256. B. N. Prasad, The absolute summability (A) of Fourier series, Proceedings of the Edinburgh Mathematical Society (2) vol. 2 (1931) pp. 129-134. —, On the summability of Fourier series and the bounded variation of power series, Proc. London Math. Soc. (2) vol. 35 (1933) pp. 407-424. 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. 1-5. W. H. Young, On the Fourier series of bounded functions, Proc. London Math. Soc. (2) vol. 12 (1913) pp. 41-70.
Bibliographic Information
- © Copyright 1952 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 3 (1952), 852-857
- MSC: Primary 42.4X
- DOI: https://doi.org/10.1090/S0002-9939-1952-0051958-4
- MathSciNet review: 0051958