On equivalence of analytic functions to rational regular functions
نویسندگان
چکیده
منابع مشابه
On Approximation to Analytic Functions by Rational Functions
Let f(z) be analytic in the interior of a rectifiable Jordan curve C and continuous in the corresponding closed region C. The relation between continuity properties of f(z) on C and degree of approximarion to f(z) by polynomials irn(z) in z of respective degrees n, n = 1, 2, • • • , has been extensively studied. In the present paper we study the relation between continuity properties of f(z) on...
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Note on Degree of Approximation to Analytic Functions by Rational Functions with Preassigned Poles.
The purpose of this note is to establish several results, especially Theorem 1 below, relative to degree of approximation to analytic functions and their boundary values, the latter assumed to satisfy certain continuity conditions (Lipschitz conditions, etc.). The present results are closely related to, but more general than, results due to Sewell' and Elliott;2 the results have application to ...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1987
ISSN: 0263-6115
DOI: 10.1017/s1446788700029414