Efficient Chebyshev Economization for Elementary Functions
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Date
2019-06-30
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Ankara Üniversitesi Fen Fakültesi
Abstract
This paper presents economized power series for trigonometric and hyperbolic
functions. It determines the smallest range over which a function need to be computed
and scales the Chebyshev polynomials accordingly. Thus reduced degree polynomials
(and hence reduced computations) can be obtained while maintaining the same
accuracy as those unscaled higher degree polynomials.
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Keywords
Chebyshev polynomial, Economization, Trigonometric functions