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• W3022410049 abstract "Publisher SummaryThis chapter discusses Chebyshev approximation and the properties of Chebyshev polynomials. It describes the advantage of a Chebyshev-series representation of functions. Any continuous function in a finite range can be approximated to any degree of accuracy by a polynomial of sufficiently high degree. The coefficients of this polynomial should be obtained by making it coincide with the function at equidistant points in the range, taking the points closer and closer together to achieve better and better accuracy. This method can lead to serious errors even for quite elementary functions. Chebyshev representations of rational functions can be obtained by use of the τ-method of Lanczos, and other results can be obtained by term-by-term integration or, more rarely, differentiation." @default.
• W3022410049 created "2020-05-13" @default.
• W3022410049 creator A5001603888 @default.
• W3022410049 date "1962-01-01" @default.
• W3022410049 modified "2023-09-26" @default.
• W3022410049 title "CHEBYSHEV APPROXIMATION" @default.
• W3022410049 doi "https://doi.org/10.1016/b978-0-08-009660-5.50012-9" @default.
• W3022410049 hasPublicationYear "1962" @default.
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