Nicholas J. Daras, "Integral representations for Padé-type operators", Journal of Applied Mathematics, vol. 2, Article ID 978785, 19 pages, 2002. https://doi.org/10.1155/S1110757X02112125
Integral representations for Padé-type operators
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 -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.
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