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

R. K. Kovacheva; Julian Lawrynowicz

Czechoslovak Mathematical Journal (2002)

  • Volume: 52, Issue: 3, page 483-498
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Kovacheva, R. K., and Lawrynowicz, Julian. "An analogue of Montel’s theorem for some classes of rational functions." Czechoslovak Mathematical Journal 52.3 (2002): 483-498. <http://eudml.org/doc/30718>.

@article{Kovacheva2002,
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.},
author = {Kovacheva, R. K., Lawrynowicz, Julian},
journal = {Czechoslovak Mathematical Journal},
keywords = {normal families; best $L_p$-approximation; normal families; best -approximation},
language = {eng},
number = {3},
pages = {483-498},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {An analogue of Montel’s theorem for some classes of rational functions},
url = {http://eudml.org/doc/30718},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Kovacheva, R. K.
AU - Lawrynowicz, Julian
TI - An analogue of Montel’s theorem for some classes of rational functions
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 3
SP - 483
EP - 498
AB - 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.
LA - eng
KW - normal families; best $L_p$-approximation; normal families; best -approximation
UR - http://eudml.org/doc/30718
ER -

References

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