Rational approximation with a vanishing weight function and with a fixed value at zero
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- by Charles B. Dunham PDF
- Math. Comp. 30 (1976), 45-47 Request permission
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.References
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- Charles B. Dunham, Chebyshev approximation with respect to a vanishing weight function, J. Approximation Theory 12 (1974), 305–306. MR 355438, DOI 10.1016/0021-9045(74)90072-0 IBM System/360 FORTRAN IV Library Subprograms, 5th ed., October 1968. H. KUKI, Mathematical Functions, University of Chicago Computation Center Report, 1966. H. KUKI & J. ASCOLY, "FORTRAN extended-precision library," IBM Systems J., v. 10, 1971, pp. 39-61.
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Math. Comp. 30 (1976), 45-47
- MSC: Primary 41A50
- DOI: https://doi.org/10.1090/S0025-5718-1976-0402355-5
- MathSciNet review: 0402355