Abstract
A given function f can be approximated with a high degree of contact by its Padé approximant. Let us call the operator that associates with f its Padé approximant r n, m of degree n in the numerator and degree m in the denominator, the Padé operator P n, m . The fact that the Padé approximant is a rational function gives rise to a number of interesting questions. Since the concept of Padé approximant is defined both for univariate and multivariate functions, the following topics will each be discussed for both cases.
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Cuyt, A. (1995). Exploring Covariance, Consistency and Convergence in Pade Approximation Theory. In: Singh, S.P. (eds) Approximation Theory, Wavelets and Applications. NATO Science Series, vol 454. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8577-4_4
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DOI: https://doi.org/10.1007/978-94-015-8577-4_4
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