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Chebyshev approximation by interpolating rationals on ![$ [\alpha ,\,\infty ]$](images/img3.gif)
Author:
Charles B. Dunham
Journal:
Math. Comp. 29 (1975), 549-551
MSC:
Primary 65D15; Secondary 41A50
MathSciNet review:
0371013
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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]
Charles
B. Dunham, Chebyshev aproximation with respect to a weight
function, J. Approximation Theory 2 (1969),
223–232. MR 0252922
(40 #6137)
- [2]
C.
B. Dunham, Chebyshev approximation with a null point, Z.
Angew. Math. Mech. 52 (1972), 239. MR 0308663
(46 #7777)
- [3]
Charles
B. Dunham, Transformed rational Chebyshev approximation. II,
Numer. Math. 12 (1968), 8–10. MR 0233491
(38 #1812)
- [4]
Jack
Williams, Numerical Chebyshev approximation by
interpolating rationals, Math. Comp. 26 (1972), 199–206.
MR
0373230 (51 #9431), http://dx.doi.org/10.1090/S0025-5718-1972-0373230-6
- [5]
D. BRINK, Tchebycheff Approximation by Reciprocals of Polynomials on
, Dissertation, Michigan State Univ., East Lansing, Mich., 1972.
- [6]
G.
D. Taylor and J.
Williams, Existence questions for the problem of
Chebyshev approximation by interpolating rationals, Math. Comp. 28 (1974), 1097–1103. MR 0355435
(50 #7909), http://dx.doi.org/10.1090/S0025-5718-1974-0355435-5
- [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:
http://dx.doi.org/10.1090/S0025-5718-1975-0371013-7
PII:
S 0025-5718(1975)0371013-7
Keywords:
Decay functions,
infinite interval,
interpolating rationals
Article copyright:
© Copyright 1975 American Mathematical Society
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