Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-25T14:51:45.227Z Has data issue: false hasContentIssue false
  • English
  • Français

Absolute summability factors of Fourier series

Published online by Cambridge University Press:  24 October 2008

P. L. Sharma  and
S. C. Kori
P. L. Sharma
Affiliation:
University of Saugar, Sagar, M.P., India
S. C. Kori
Affiliation:
University of Saugar, Sagar, M.P., India
Get access Rights & Permissions [Opens in a new window]

Extract

1. Let f(t) be a perodic function with period 2π and integrable in the sense of Lebesgue over (–π, π), then its Fourier series is

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 68 , Issue 1 , July 1970 , pp. 61 - 65
Copyright
Copyright © Cambridge Philosophical Society 1970

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Bosanquet, L. S.Note on the Bohr-Hardy Theorem. J. London Math. Soc. 17 (1942), 166–173.CrossRefGoogle Scholar
(2)Cheng, M. T.Summability factors of Fourier series. Duke Math. J. 15 (1948), 17–27.Google Scholar
(3)Chow, H. C.Note on convergence and summability factors. J. London Math. Soc. 29 (1954), 459–476.CrossRefGoogle Scholar
(4)Kogbetliantz, E.Sur les series absolument sommables par la methode des moyennes arithmetiques, Bull. Sci. Math. (2), 49 (1925), 234–256.Google Scholar
(5)Misra, M. L.On the determination of the jump of the function by its Fourier coefficients. Quart. J. Math. Oxford Ser. 18 (1947), 129–134.Google Scholar
(6)Pati, T.The absolute summability factors of infinite series, Duke Math. J. 21 (1954), 271–283.CrossRefGoogle Scholar
(7)Prasad, B. N.On the absolute summability of Fourier series and bounded variation of Power series. Proc. London Math. Soc. (2), 35 (1933), 407–424.CrossRefGoogle Scholar
(8)Prasad, B. N. and Bhatt, S. N.The summability factors of Fourier series. Duke Math. J. 24 (1957), 103–120.CrossRefGoogle Scholar