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The degree of approximation by rational functions with fixed poles

โœ Scribed by Jan-Erik Andersson; Tord Ganelius

Publisher
Springer-Verlag
Year
1977
Tongue
French
Weight
221 KB
Volume
153
Category
Article
ISSN
0025-5874

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๐Ÿ“œ SIMILAR VOLUMES

Approximation of analytic functions by r
Approximation of analytic functions by rational functions with prescribed poles
โœ Gaetano Fichera ๐Ÿ“‚ Article ๐Ÿ“… 1970 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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

Approximation of Transfer Functions of I
Approximation of Transfer Functions of Infinite Dimensional Dynamical Systems by Rational Interpolants with Prescribed Poles
โœ Angel Ribalta Stanford; Guillermo Lรณpez Lagomasino ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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