Title |
Weighted inequalities for generalized polynomials with doubling weights
|
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Published in |
Journal of Inequalities and Applications, April 2017
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DOI | 10.1186/s13660-017-1369-0 |
Pubmed ID | |
Authors |
Haewon Joung |
Abstract |
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. |