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

Authors: Kovacheva R.K.¹; awrynowicz J.^{2, 3}

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

Publisher: Academic Press

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 L_p-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, ód Branch, Narutowicza 56, ód, PL-90-136, Poland ód Branch, Narutowicza 56, ód, PL-90-136, Poland "> 3: Chair of Solid State Physics, University of ód, Pomorska 149/153, ód, Pl-90-236, Polandód, Pomorska 149/153, ód, Pl-90-236, Poland">

Publication date: 2002-03-01

• In this: publication
• By this: publisher
• In this Subject: Mathematics and Statistics
• By this author: Kovacheva R.K. ;  awrynowicz J.

Website © Publishing Technology. Article copyright remains with the publisher, society or author(s) as specified within the article.

• Terms and conditions
• Privacy policy
• Information for advertisers