Theoretical Mathematics & Applications

On an Extension of Chebyshev-Pade Approximants

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  • Abstract

     

    The Pade approximation considered as interpolation problem by rational fractions is widely used to accelerate power series because to their accuracy. Its generalization in the orthogonal Chebyshev basis, a family of polynomials that presents a behaviour uniform, have been applied successfully in the resolution to various dependent problems of a variable. In this article, our approach aims to extend this generalization to functions of two variables. Numerical implementations are also presented.