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On the absolute summability by Borel's integral method of the derived Fourier series and its conjugate series

Published online by Cambridge University Press:  20 January 2009

R. M. Sharma
R. M. Sharma
Affiliation:
Government College, Satna (M.P.)India
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Summary

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Mohanty (1) and (3) considered the absolute summability of conjugate series and Fourier series by Borel's integral method by proving the following theorems.

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 15 , Issue 4 , December 1967 , pp. 279 - 284
Copyright
Copyright © Edinburgh Mathematical Society 1967

References

REFERENCES

(1) Mohanty, R., The absolute summability by Borel's integral method of the allied series of a Fourier series, J. London Math. Soc. 38 (1963), 381–384.Google Scholar
(2) Hardy, G. H., Divergent Series (Oxford, 1949), p. 184.Google Scholar
(3) Mohanty, R., On the summation of Fourier series by Borel's absolute integral method, J. London Math. Soc. 38 (1963), 375–380.Google Scholar