Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-22T21:12:14.880Z Has data issue: false hasContentIssue false

A Note on the Approximation of Continuous Functions by Riesz Typical Means of Their Fourier Series

Published online by Cambridge University Press:  09 April 2009

B. Kwee
Affiliation:
Department of Mathematics University of MalayaKuala Lumpur, Malaysia
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In [1], the following theorem is proved:THEOREM. If f ∈C, α is a positive integer, and then Where , .

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1969

References

[1]Kwee, B., ‘The approximation of continuous functions by Riesz typical means of their Fourier Series’, J. Australian Math. Soc., 7 (1967), 539544.Google Scholar