Convergence Rates of Padé and Padé-Type Approximants |
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| Authors: | Amiran Ambroladze Hans Wallin |
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| Institution: | aDepartment of Mathematics, Tbilisi University, Republic of Georgia;bDepartment of Mathematics, University of Umeå, S-901 87, Umeå, Sweden |
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| Abstract: | A comparison is made between Padé and Padé-type approximants. LetQnbe thenth orthonormal polynomial with respect to a positive measureμwith compact support inC. We show that for functions of the formformula]wherewis an analytic function on the support ofμ, Padé-type approximants with denominatorQngive a successful and, in general, better approximation procedure than Padé approximation. |
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