An analogue of Montel's theorem for some classes of rational functions

Authors: Kovacheva R.K.¹; Lawrynowicz J.²

Source: Czechoslovak Mathematical Journal, Volume 52, Number 3, September 2002 , pp. 483-498(16)

Publisher: Springer

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 the best L_p-approximation with an unbounded number of finite poles are considered.

Keywords: normal families; best L_p-approximation

Language: English

Document Type: Research article

Affiliations: 1: Institute of Mathematics, Bulgarian Academy of Sciences, Acad. Bonchev Str. 8, 1113 Sofia, Bulgaria, rkovach@math.bas.bg 2: Institute of Mathematics, Polish Academy of Sciences, Lodz Branch, Narutowicza 56, PL-90-136 Lodz, Poland, jlawryno@krysia.uni.lodz.pl

Publication date: 2002-09-01

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