Exponential Chebyshev approximation on finite subsets of $[0, 1]$
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- by Bernard H. Rosman PDF
- Math. Comp. 25 (1971), 575-577 Request permission
Abstract:
In this note the convergence of best exponential Chebyshev approximation on finite subsets of [0,1] to a best approximation on the interval is proved when the function to be approximated is continuous and when the union of the finite subsets is dense in [0, 1].References
- T. J. Rivlin and E. W. Cheney, A comparison of uniform approximations on an interval and a finite subset thereof, SIAM J. Numer. Anal. 3 (1966), 311–320. MR 204938, DOI 10.1137/0703024
- Charles B. Dunham, Rational Chebyshev approximation on subsets, J. Approximation Theory 1 (1968), 484–487. MR 238002, DOI 10.1016/0021-9045(68)90036-1
- John R. Rice, The approximation of functions. Vol. 2: Nonlinear and multivariate theory, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1969. MR 0244675
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Math. Comp. 25 (1971), 575-577
- MSC: Primary 41A50; Secondary 65D15
- DOI: https://doi.org/10.1090/S0025-5718-1971-0295533-5
- MathSciNet review: 0295533