Weighted inequalities for generalized polynomials with doubling weights

نویسنده

  • Haewon Joung
چکیده

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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عنوان ژورنال:

دوره 2017  شماره 

صفحات  -

تاریخ انتشار 2017