REAL

Polynomial inequalities with asymmetric weights

Kroó, A. and Szabados, J. (2018) Polynomial inequalities with asymmetric weights. JAEN JOURNAL ON APPROXIMATION, 10 (1). pp. 81-100. ISSN 1889-3066 (print); 1989-7251 (online)

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Abstract

We initiate the study of the Bernstein-Markov type inequalities for the so called asymmetric weights which may vanish at a given point with different rates. Bernstein type inequality is proved for asymmetric weights with power discrepancies. It turns out that the order of Bernstein factors in the asymmetric case is in general greater than O(n).

Item Type: Article
Uncontrolled Keywords: Remez, Schur and Bernstein type inequality, asymmetric weight
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 18 Oct 2019 06:57
Last Modified: 18 Oct 2019 06:57
URI: http://real.mtak.hu/id/eprint/102404

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