Integral representations for Padé‐type operators

Nicholas J. Daras

Journal of Applied Mathematics, 2002, vol. 2, issue 2, 51-69

Abstract: The main purpose of this paper is to consider an explicit form of the Padé‐type operators. To do so, we consider the representation of Padé‐type approximants to the Fourier series of the harmonic functions in the open disk and of the L p‐functions on the circle by means of integral formulas, and, then we define the corresponding Padé‐type operators. We are also oncerned with the properties of these integral operators and, in this connection, we prove some convergence results.

Date: 2002
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https://doi.org/10.1155/S1110757X02112125

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2:y:2002:i:2:p:51-69

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