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A New Criterion for Borel Summability of Fourier Series

Published online by Cambridge University Press:  20 November 2018

B.N. Sahney  and
P.D. Kathal
B.N. Sahney
Affiliation:
University of Calgary, Alberta
P.D. Kathal
Affiliation:
University of SaugarSaugar, India
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The application of Borel summability to Fourier series has been discussed by Takahashi and Wang [8] and Sahney [5]. Sahney [6] and Sinvhal [7] obtained sufficient conditions for the Borel summability of the derived Fourier series and its conjugate series, respectively. Kathal [3] obtained different conditions in the case of the conjugate series. In this paper we give a new criterion for Borel summability of Fourier series.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 12 , Issue 5 , October 1969 , pp. 573 - 580
Copyright
Copyright © Canadian Mathematical Society 1969

References

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