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A Criterion for Taylor Summability of Fourier Series

Published online by Cambridge University Press:  20 November 2018

A. S. B. Holland ,
B. N. Sahney  and
J. Tzimbalario
A. S. B. Holland
Affiliation:
Department of Mathematics, University of Calgary, Calgary, Alberta T2N 1N4
B. N. Sahney
Affiliation:
Department of Mathematics, University of Calgary, Calgary, Alberta T2N 1N4
J. Tzimbalario
Affiliation:
Summer Research Institute, 1975, Department of Mathematics, University of Calgary, Calgary Alberta T2N 1N4
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Let {ank} be a matrix defined by

1

and n taking only non-negative integer values.

Let f(x) ∈ L [0, 2π] and be periodic with period 2π outside this interval. Let the Fourier series associated with the function f(x) be given by

and let

where s is a constant.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 22 , Issue 3 , 01 September 1979 , pp. 345 - 350
Copyright
Copyright © Canadian Mathematical Society 1979

References

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