Chebyshev approximation by interpolating rationals on

Author:
Charles B. Dunham

Journal:
Math. Comp. **29** (1975), 549-551

MSC:
Primary 65D15; Secondary 41A50

DOI:
https://doi.org/10.1090/S0025-5718-1975-0371013-7

MathSciNet review:
0371013

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Abstract | References | Similar Articles | Additional Information

Abstract: Decay-type functions with a finite number of zeros are approximated on by an oscillation factor times a negative power of a polynomial. Best approximations are characterized and an algorithm indicated.

**[1]**C. B. DUNHAM, "Chebyshev approximation with respect to a weight function,"*J. Approximation Theory*, v. 2, 1969, pp. 223-232. MR**40**#6137. MR**0252922 (40:6137)****[2]**C. B. DUNHAM, "Chebyshev approximation with a null point,"*Z. Angew. Math. Mech.*, v. 52, 1972, p. 239. MR**46**#7777. MR**0308663 (46:7777)****[3]**C. B. DUNHAM, "Transformed rational Chebyshev approximation. II,"*Numer. Math.*, v. 12, 1968, pp. 8-10. MR**38**#1812. MR**0233491 (38:1812)****[4]**J. WILLIAMS, "Numerical Chebyshev approximation by interpolating rationals,"*Math. Comp.*, v. 26, 1972, pp. 199-206. MR**0373230 (51:9431)****[5]**D. BRINK,*Tchebycheff Approximation by Reciprocals of Polynomials on*, Dissertation, Michigan State Univ., East Lansing, Mich., 1972.**[6]**G. D. TAYLOR & J. WILLIAMS, "Existence questions for the problem of Chebyshev approximation by interpolating rationals,"*Math. Comp.*, v. 28, 1974, pp. 1097-1103. MR**0355435 (50:7909)**

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1975-0371013-7

Keywords:
Decay functions,
infinite interval,
interpolating rationals

Article copyright:
© Copyright 1975
American Mathematical Society