Finding polynomials of best approximation with weight
Journal Article
·
· Sbornik. Mathematics
- Russian Research Centre 'Kurchatov Institute', Moscow (Russian Federation)
A new iterative method for finding the parameters of polynomials of best approximation with weight in C[-1, 1] is presented. It is based on the representation of the error in the trigonometric form in terms of the phase function. The iterative method of finding the corrections to the phase functions that determine the joint motion of the zeros and the e-points of the error is based on inverse analysis, perturbation theory, and asymptotic formulae for extremal polynomials. Bibliography: 24 titles.
- OSTI ID:
- 21096803
- Journal Information:
- Sbornik. Mathematics, Vol. 199, Issue 2; Other Information: DOI: 10.1070/SM2008v199n02ABEH003916; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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