2015arXiv (Cornell University)Open access

On the Chebyshev approximation of a function with two variables

Ernest Scheiber

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Abstract

There is presented an approach to find an approximation polynomial of a function with two variables based on the two dimensional discrete Fourier transform. The approximation polynomial is expressed through Chebyshev polynomials. There is given an uniform convergence result.

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What this paper is about

There is presented an approach to find an approximation polynomial of a function with two variables based on the two dimensional discrete Fourier transform. The approximation polynomial is expressed through Chebyshev polynomials. There is given an uniform convergence result.

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Available abstract

There is presented an approach to find an approximation polynomial of a function with two variables based on the two dimensional discrete Fourier transform. The approximation polynomial is expressed through Chebyshev polynomials. There is given an uniform convergence result.

Key concepts: Chebyshev polynomials, Chebyshev nodes, Equioscillation theorem, Chebyshev equation, Mathematics, Polynomial, Chebyshev filter, Approximation theory

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