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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2007 Volume 198, Number 12, Pages 37–46 (Mi sm3858)

This article is cited in 17 papers

A majoration principle for meromorphic functions

V. N. Dubinin, S. I. Kalmykov

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: A new majoration principle for meromorphic functions with prescribed poles is considered. Covering and distortion results for rational functions and polynomials are consequences of this principle. In particular, a simple proof of a Bernstein-type inequality for rational functions on several intervals is presented.
Bibliography: 17 titles.

UDC: 517.547.24+517.535

MSC: Primary 26C15, 30D30, 41A17; Secondary 30C10

Received: 16.04.2007 and 28.06.2007

DOI: 10.4213/sm3858


 English version:
Sbornik: Mathematics, 2007, 198:12, 1737–1745

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© Steklov Math. Inst. of RAS, 2024