A Study on Unit Interpolation with Rational Analytic Bounded Functions
نویسندگان
چکیده
منابع مشابه
A Duality in Interpolation to Analytic Functions by Rational Functions.
omission and to say whether its correction will lead only to a new interpretation of the constants of our equations or to an actual change of their form. Another simplification is the neglect of polar and excited states: While there is reason to assume that their influence is small, its exact estimate is still lacking. Further inaccuracies were discussed in our preceding paper: The use of Bloch...
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W. Gross [l ] was the first to give an example of an entire function w=<p(f) with the property that, for each complex number w, there exists an uncountable set of asymptotic paths along which <p(f) tends to w. We shall consider, in this note, the corresponding problem for functions analytic in the unit circle, U: \z\ < 1. Let <p(f) be the entire function constructed by Gross, and let L be one o...
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The objective of this paper is to give an alternative derivation of results on bounded analytic functions recently obtained by Ahlfors [l] and Garabedian [2].1 While it is admitted that the main idea to be used is more in the nature of a lucky guess than of a method, it will be found that the gain in brevity and simplicity of the argument is considerable. As a by-product, we shall also obtain a...
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Polynomial interpolation to analytic functions can be very accurate, depending on the distribution of the interpolation nodes. However, in equispaced nodes and the like, besides being badly conditioned, these interpolants fail to converge even in exact arithmetic in some cases. Linear barycentric rational interpolation with the weights presented by Floater and Hormann can be viewed as blended p...
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The general problem of interpolation and approximation to an arbitrary given analytic function by means of polynomials or more general rational functions, is an important one on which the existing literature is large, including a recent book by the present writer. ' Analogous to this problem is the new but related problem of interpolation and approximation to an arbitrary given analytic functio...
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ژورنال
عنوان ژورنال: Transactions of the Society of Instrument and Control Engineers
سال: 1990
ISSN: 0453-4654
DOI: 10.9746/sicetr1965.26.1134