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Computable Function Representations Using Effective Chebyshev Polynomial

Published in Zenodo (CERN European Organization for Nuclear Research) • Jul 27, 2007
Authors:
Mohammed A. Abutheraa
,
David Lester

Abstract

We show that Chebyshev Polynomials are a practical representation of computable functions on the computable reals. The paper presents error estimates for common operations and demonstrates that Chebyshev Polynomial methods would be more efficient than Taylor Series methods for evaluation of transcen...

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