An Analogue of Montel's Theorem for Rational Functions of Best Lp- Approximation

Authors: Kovacheva R.K.1; Lstrokawrynowicz J.2, 3

Source: Journal of Approximation Theory, Volume 115, Number 1, March 2002 , pp. 56-71(16)

Publisher: Academic Press

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Abstract:

For sequences of rational functions, analytic in some domain, a theorem of Montel's type is proved. As an application, sequences of rational functions of best Lp-approximation with unbounded number of finite poles are considered.© 2002 Elsevier Science (USA).

Language: English

Document Type: Research article

Affiliations: 1: Institute of Mathematics, Bulgarian Academy of Sciences, Acad. Bonchev Str. 8, Sofia, 1113, Bulgaria 2: Institute of Mathematics, Polish Academy of Sciences, Lstrokódzacute Branch, Narutowicza 56, Lstrokódzacute, PL-90-136, Poland ódzacute Branch, Narutowicza 56, Lstrokódzacute, PL-90-136, Poland "> 3: Chair of Solid State Physics, University of Lstrokódzacute, Pomorska 149/153, Lstrokódzacute, Pl-90-236, Polandódzacute, Pomorska 149/153, Lstrokódzacute, Pl-90-236, Poland">

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