Abstract
This paper analyses the local behavior of the simple off-diagnonal bivariate quadratic function approximation to a bivariate function which has a given power series expansion about the origin. It is shown that the simple off-diagonal bivariate quadratic Hermite-Padé form always defines a bivariate quadratic function and that this function is analytic in a neighbourhood of the origin. Numerical examples compare the obtained results with the approximation power of diagonal Chisholm approximant and Taylor polynomial approximant.
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References
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Supported by National Natural Science Foundation of China (69973010, 10271022).
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Chengde, Z., Renhong, W. Existence and local behavior of nondiagonal bivariate quadratic function approximation. Appl. Math. Chin. Univ. 18, 442–452 (2003). https://doi.org/10.1007/s11766-003-0071-9
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DOI: https://doi.org/10.1007/s11766-003-0071-9