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The Integrability of Riemann Summable Trigonometric Series

Published online by Cambridge University Press:  20 November 2018

P. S. Bullen  and
S. N. Mukhopadhyay
P. S. Bullen
Affiliation:
Department of Mathematics University of British Columbia Vancouver, Canada
S. N. Mukhopadhyay
Affiliation:
Department of Mathematics University of Burdwan Burdwan, India
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Abstract

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It is shown that if a trigonometric series is (R, 3), respectively (R, 4), summable then its (R, 3) sum, respectively (R, 4) sum, is James P3—, respectively P4—, integrable and that such series are Fourier series with respect to these integrals.

Keywords

26A3942A99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 3 , 01 September 1990 , pp. 273 - 281
Copyright
Copyright © Canadian Mathematical Society 1990

References

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