Two-point Padé-type approximation to the Cauchy transform of certain strong distributions

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摘要

In this paper we are mainly concerned with the Cauchy transform of certain strong distributions satisfying a type of symmetric property introduced by A.S. Ranga. Algebraic properties of the corresponding two-point Padé-type approximants are given along with results about convergence for sequences of such approximants

论文关键词:41A21,30E05,34E05,Two-point Padé-type approximation,Strong distribution,Cauchy transform,Orthogonal polynomial,Rate of convergence

论文评审过程:Received 21 October 1997, Revised 6 February 1998, Available online 7 September 1999.

论文官网地址:https://doi.org/10.1016/S0377-0427(99)00043-6