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Mathematics of Computation

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Exponential Chebyshev approximation on finite subsets of $ [0,\,1]$


Author: Bernard H. Rosman
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
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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].


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1971-0295533-5
Keywords: Chebyshev approximation, exponential functions, varisolvence, pointwise convergence, uniform convergence
Article copyright: © Copyright 1971 American Mathematical Society

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