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The approximation of continuous functions by Riesz typical means of their Fourier series

Published online by Cambridge University Press:  09 April 2009

B. Kwee
B. Kwee
Affiliation:
Department of MathematicsUniversity of Malaya Kuala Lumpur, Malaysia
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Let (x) be a continuous function with period 2π. It is well known that the Fourier series of (x) is summable Riesz of any positive order to (x). The aim of this paper is the proof of the following theorem.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 7 , Issue 4 , November 1967 , pp. 539 - 544
Copyright
Copyright © Australian Mathematical Society 1967

References

[1]Zygmund, A., Trigonometric series (Cambridge, 1959).Google Scholar
[2]Steckin, S. B., ‘On the order of the best approximations of continuous functions’, Izv. Akad. Nauk USSR Ser. Mat. 15 (1951), 219–242 (Russian).Google Scholar