A variational approach to the theory of multipoint Padé approximants
- 1 March 1973
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 14 (3), 314-325
- https://doi.org/10.1063/1.1666315
Abstract
The existence and bounding properties of the various multipoint Padé approximants, and their complements, with respect to functions representable by series of Stieltjes, are established by using a generalized Hylleraas variational principle. The main discussion uses the phraseology of a typical frequency dependent polarizability function, and in an appendix the results are simply generalized.Keywords
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