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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Chebyshev approximation by exponentials on finite subsets


Author: Dietrich Braess
Journal: Math. Comp. 27 (1973), 327-331
MSC: Primary 41A30
MathSciNet review: 0330854
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Abstract: This paper is concerned with Chebyshev approximation by exponentials on finite subsets. We take into account that varisolvency does not hold for exponentials in general. A bound for the derivatives of exponentials is established and convergence of the solutions for the discrete problems is proved in the topology of compact convergence on the open interval.


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DOI: http://dx.doi.org/10.1090/S0025-5718-1973-0330854-0
PII: S 0025-5718(1973)0330854-0
Keywords: Chebyshev approximation, exponentials, violation of varisolvency, estimation of derivatives, convergence of discrete approximation
Article copyright: © Copyright 1973 American Mathematical Society