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Summability (L) of Fourier series

Published online by Cambridge University Press:  24 October 2008

M. M. Nanda  and
G. Das
M. M. Nanda
Affiliation:
G.M. College, Sambalpur, Orissa, India and University College, London
G. Das
Affiliation:
G.M. College, Sambalpur, Orissa, India and University College, London
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Extract

Let f(t) be Lebesgue integrable in (-π, π) and be periodic with period 2π; let the Fourier series of f(t) at t = y be

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 2 , March 1970 , pp. 327 - 331
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Borwein, D.A logarithmic method of summability. J. London Math. Soc. 33 (1958), 212–220.CrossRefGoogle Scholar
(2)Nanda, M. M.The summability (L) of the Fourier series and the first differentiated Fourier series. Quart. J. Math. Oxford Ser. 13 (1962), 229–234.CrossRefGoogle Scholar
(3)Nanda, M. M.The summability (L) of the rth derived Fourier series. Quart. J. Math. Oxford Ser. 15 (1964), 16–22.CrossRefGoogle Scholar
(4)Nanda, M. M. and Das, G.Summability (L) of Fourier series and differentiated Fourier series. Indian J. Math, (to appear).Google Scholar