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Chebyshev approximation by interpolating rationals on $ [\alpha ,\,\infty ]$


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 $ [\alpha ,\infty )$ by an oscillation factor times a negative power of a polynomial. Best approximations are characterized and an algorithm indicated.


References [Enhancements On Off] (What's this?)

  • [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 $ [0,\infty ]$, 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

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