Geodesic
On modulus estimate of rational function
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 24, Tome 371 (2009), pp. 109-116 
S. I. Kalmykov. On modulus estimate of rational function. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 24, Tome 371 (2009), pp. 109-116. http://geodesic.mathdoc.fr/item/ZNSL_2009_371_a7/
@article{ZNSL_2009_371_a7,
     author = {S. I. Kalmykov},
     title = {On modulus estimate of rational function},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {109--116},
     year = {2009},
     volume = {371},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_371_a7/}
}
TY  - JOUR
AU  - S. I. Kalmykov
TI  - On modulus estimate of rational function
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2009
SP  - 109
EP  - 116
VL  - 371
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2009_371_a7/
LA  - ru
ID  - ZNSL_2009_371_a7
ER  - 
%0 Journal Article
%A S. I. Kalmykov
%T On modulus estimate of rational function
%J Zapiski Nauchnykh Seminarov POMI
%D 2009
%P 109-116
%V 371
%U http://geodesic.mathdoc.fr/item/ZNSL_2009_371_a7/
%G ru
%F ZNSL_2009_371_a7

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The paper presents sharp inequalities for the modules of rational functions under certain restrictions on the module of the independent variable. These inequalities supplement some results of Govil, Mohapatra, and Dubinin. Bibl. – 6 titles.

[1] N. C. Ankeny, T. J. Rivlin, “On a theorem of S. Bernstein”, Pacific J. Math., 1955, no. 5, 849–852 | DOI | MR | Zbl

[2] N. K. Govil, R. N. Mohapatra, “Inequalities for maximum modulus of ratioanl functions with prescribed poles”, Approximation theory, Monogr. Textbooks Pure Appl. Math., 212, Dekker, New York, 1998, 255–263 | MR | Zbl

[3] V. N. Dubinin, “Lemma Shvartsa i otsenki koeffitsientov dlya regulyarnykh funktsii so svobodnoi oblastyu opredeleniya”, Mat. sb., 196:11 (2005), 53–74 | DOI | MR | Zbl

[4] N. A. Lebedev, “Nekotorye otsenki dlya funktsii, regulyarnykh i odnolistnykh v kruge”, Vestn. Leningr. un-ta. Ser. mat., fiz., khim., 1955, no. 11, 3–21 | Zbl

[5] Zh. Valiron, Analiticheskie funktsii, M., 1957

[6] V. N. Dubinin, “Konformnye otobrazheniya i neravenstva dlya algebraicheskikh polinomov”, Algebra i analiz, 13:5 (2001), 16–43 | MR | Zbl