Rational approximation with a vanishing weight function and with a fixed value at zero-Reference-Cited by-同舟云学术

Rational approximation with a vanishing weight function and with a fixed value at zero

Published:1976 Issue:133 Volume:30 Page:45-47
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Dunham Charles B.

Abstract

Chebyshev approximation by ordinary rational functions with respect to a vanishing weight function is considered. A best approximation is characterized by alternation and is unique but may not exist. The problem arises in Kuki’s technique for rational approximation with interpolation at zero and with Williams’ interpolating rationals.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1976-30-133/S0025-5718-1976-0402355-5/S0025-5718-1976-0402355-5.pdf

Reference8 articles.

1. Chebyshev aproximation with respect to a weight function;Dunham, Charles B.;J. Approximation Theory,1969

2. Chebyshev approximation with respect to a vanishing weight function;Dunham, Charles B.;J. Approximation Theory,1974

3. IBM System/360 FORTRAN IV Library Subprograms, 5th ed., October 1968.

4. H. KUKI, Mathematical Functions, University of Chicago Computation Center Report, 1966.

5. H. KUKI & J. ASCOLY, "FORTRAN extended-precision library," IBM Systems J., v. 10, 1971, pp. 39-61.

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