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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Detalles Bibliográficos
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
Descripción
Sumario: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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