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The Chebyshev--Hermite Moments and Their Applications to Asymptotic Expansions

✍ Scribed by V. V. Senatov

Book ID
110300870
Publisher
Springer US
Year
2001
Tongue
English
Weight
190 KB
Volume
106
Category
Article
ISSN
1573-8795

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When two or more branches of a function merge, the Chebyshev series of u(Ξ») will converge very poorly with coefficients a n of T n (Ξ») falling as O(1/n Ξ± ) for some small positive exponent Ξ±. However, as shown in [J.P. Boyd, Chebyshev polynomial expansions for simultaneous approximation of two branc