On a Markov-type Inequality on Compact Sets of the Unit Circle

We complement the results of V. Dubinin, B. Nagy, V. Totik, and the first author concerning polynomial inequalities on circular arcs, by providing a special form of an asymptotically sharp Markov-type inequality on rather general compact sets on the unit circle.

Authors

S. Kalmykov
K. Konoplev

Institutions

Shanghai Jiao Tong University (CN)
Keldysh Institute of Applied Mathematics (RU)

Publication Details

Journal: Lobachevskii Journal of Mathematics
Published: 2025-09-01
DOI: https://doi.org/10.1134/s1995080225610859
Primary Topic: Mathematical functions and polynomials
Type: article
Field-Weighted Citation Impact: 0.00

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article

On a Markov-type Inequality on Compact Sets of the Unit Circle

S. Kalmykov, K. Konoplev

Sep 1, 2025

Lobachevskii Journal of Mathematics

Mathematical functions and polynomials

article

On a Markov-type Inequality on Compact Sets of the Unit Circle

S. Kalmykov, K. Konoplev

September 1, 2025article en

Abstract

Lobachevskii Journal of MathematicsVol. 46(9)

Shanghai Jiao Tong University (CN), Keldysh Institute of Applied Mathematics (RU)

Reduced inequalities

Openalex Percentile: Top 20%

Mathematical functions and polynomials

DOI Source OpenAlex

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On a Markov-type Inequality on Compact Sets of the Unit Circle — S. Kalmykov, K. Konoplev · Lobachevskii Journal of Mathematics (2025) | TGRS Research Map | TGRS