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On approximation by rational functions with prescribed numerator degree inLpspaces

✍ Scribed by Dan Sheng Yu; Song Ping Zhou

Publisher
Akadmiai Kiad
Year
2006
Tongue
English
Weight
225 KB
Volume
111
Category
Article
ISSN
1588-2632

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πŸ“œ SIMILAR VOLUMES

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Approximation of analytic functions by rational functions with prescribed poles
✍ Gaetano Fichera πŸ“‚ Article πŸ“… 1970 πŸ› John Wiley and Sons 🌐 English βš– 473 KB

From (1) it follows that y ( z ) has in zk a zero of order not less than vk . Since y ( z ) is holomorphic in the neighborhood of every point of %'K (including z = a), it follows from Hypothesis 6, that y ( z ) vanishes identically in VK. On the other hand, we have for large IzJ of 5. 1 We say tha

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✍ Angel Ribalta Stanford; Guillermo LΓ³pez Lagomasino πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 171 KB

Rational interpolants with prescribed poles are used to approximate holomorphic functions on the closure of their region of analyticity under natural assumptions of their properties on the boundary. The transfer functions of some infinite dimensional dynamical systems of interest in applications sat