Trigonometric Pade approximants for functions with regularly decreasing Fourier coefficients
Journal Article
·
· Sbornik. Mathematics
- Gomel State University, Gomel (Belarus)
Sufficient conditions describing the regular decrease of the coefficients of a Fourier series f(x)=a{sub 0}/2 + {sigma} a{sub n} cos kx are found which ensure that the trigonometric Pade approximants {pi}{sup t}{sub n,m}(x;f) converge to the function f in the uniform norm at a rate which coincides asymptotically with the highest possible one. The results obtained are applied to problems dealing with finding sharp constants for rational approximations. Bibliography: 31 titles.
- OSTI ID:
- 21301578
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 7 Vol. 200; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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