Weighted inequalities for generalized polynomials with doubling weights

Many weighted polynomial inequalities, such as the Bernstein, Marcinkiewicz, Schur, Remez, Nikolskii inequalities, with doubling weights were proved by Mastroianni and Totik for the case [Formula: see text] , and by Tamás Erdélyi for [Formula: see text] . In this paper we extend such polynomial ineq...

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Autor principal: Joung, Haewon
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5408067/
https://www.ncbi.nlm.nih.gov/pubmed/28515619
http://dx.doi.org/10.1186/s13660-017-1369-0
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author Joung, Haewon
author_facet Joung, Haewon
author_sort Joung, Haewon
collection PubMed
description Many weighted polynomial inequalities, such as the Bernstein, Marcinkiewicz, Schur, Remez, Nikolskii inequalities, with doubling weights were proved by Mastroianni and Totik for the case [Formula: see text] , and by Tamás Erdélyi for [Formula: see text] . In this paper we extend such polynomial inequalities to those for generalized trigonometric polynomials. We also prove the large sieve for generalized trigonometric polynomials with doubling weights.
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spelling pubmed-54080672017-05-15 Weighted inequalities for generalized polynomials with doubling weights Joung, Haewon J Inequal Appl Research Many weighted polynomial inequalities, such as the Bernstein, Marcinkiewicz, Schur, Remez, Nikolskii inequalities, with doubling weights were proved by Mastroianni and Totik for the case [Formula: see text] , and by Tamás Erdélyi for [Formula: see text] . In this paper we extend such polynomial inequalities to those for generalized trigonometric polynomials. We also prove the large sieve for generalized trigonometric polynomials with doubling weights. Springer International Publishing 2017-04-27 2017 /pmc/articles/PMC5408067/ /pubmed/28515619 http://dx.doi.org/10.1186/s13660-017-1369-0 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Joung, Haewon
Weighted inequalities for generalized polynomials with doubling weights
title Weighted inequalities for generalized polynomials with doubling weights
title_full Weighted inequalities for generalized polynomials with doubling weights
title_fullStr Weighted inequalities for generalized polynomials with doubling weights
title_full_unstemmed Weighted inequalities for generalized polynomials with doubling weights
title_short Weighted inequalities for generalized polynomials with doubling weights
title_sort weighted inequalities for generalized polynomials with doubling weights
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5408067/
https://www.ncbi.nlm.nih.gov/pubmed/28515619
http://dx.doi.org/10.1186/s13660-017-1369-0
work_keys_str_mv AT jounghaewon weightedinequalitiesforgeneralizedpolynomialswithdoublingweights

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