Integral representations for Padé-type operators
Daras, Nicholas J.
J. Appl. Math., Tome 2 (2002) no. 8, p. 51-69 / Harvested from Project Euclid
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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.
Publié le : 2002-05-14
Classification:  32A25,  32E30,  41A05 
@article{1049075351,
     author = {Daras, Nicholas J.},
     title = {Integral representations for Pad\'e-type operators},
     journal = {J. Appl. Math.},
     volume = {2},
     number = {8},
     year = {2002},
     pages = { 51-69},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1049075351}
}

Daras, Nicholas J. Integral representations for Padé-type operators. J. Appl. Math., Tome 2 (2002) no. 8, pp.  51-69. http://gdmltest.u-ga.fr/item/1049075351/