Integral representations for Padé-type operators

Nicholas J. Daras

Journal of Applied Mathematics, 2002, vol. 2, 1-19

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:978785

DOI: 10.1155/S1110757X02112125

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