Polynomials with curved majorants on two segments
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2009), pp. 72-75
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In this paper we prove covering theorems for analytic functions related to polynomials that have curved majorants on two symmetric intervals. These theorems contain and complement some new and classic results for polynomials with restriction on one and two intervals.
Keywords:
covering theorems, inequalities for polynomials, Chebyshev polynomials.
@article{IVM_2009_10_a8,
author = {S. I. Kalmykov},
title = {Polynomials with curved majorants on two segments},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {72--75},
publisher = {mathdoc},
number = {10},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2009_10_a8/}
}
S. I. Kalmykov. Polynomials with curved majorants on two segments. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2009), pp. 72-75. http://geodesic.mathdoc.fr/item/IVM_2009_10_a8/