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- W1968651666 startingPage "375" @default.
- W1968651666 abstract "The concept of generalised Chebyshev polynomials is introduced in connection with the interpolation by a linear form [equation: see PDF] of a real function Z(x), defined over an arbitrary prescribed set of discrete points. In this form both ak → 0, 1,…, q and ‘basic’ functions φk(x), k → 0,1, …, q are defined to minimise in the Chebyshev sense a known part of the corresponding truncation error ϵq(x). It is shown that these generalised polynomials become, for the case of equidistant sampling points, the classical Cosine Trigonometric polynomials. The advantages in the use of these generalised Chebyshev polynomials versus the traditional Chebyshev ones are emphasised in two numerical examples." @default.
- W1968651666 created "2016-06-24" @default.
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- W1968651666 date "1973-04-01" @default.
- W1968651666 modified "2023-09-25" @default.
- W1968651666 title "Generalised Chebyshev polynomials and their use in numerical approximation" @default.
- W1968651666 doi "https://doi.org/10.1093/comjnl/16.4.375" @default.
- W1968651666 hasPublicationYear "1973" @default.
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