More on fast decreasing trigonometric polynomials

In a recent paper, for a fixed $m\in\mathbb N$, we introduced trigonometric polynomials $$ L_n(x):=\frac1{h^m}\underbrace{\int_{-h/2}^{h/2}\dots\int_{-h/2}^{h/2}}_{m\,\text{times}}J_n(x+t_1+\cdots+t_m)\,dt_1\cdots\,dt_m, $$ where $J_n$ is a Jackson-type kernel. In the current paper we show that...

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Bibliographic Details
Main Authors: D. Leviatan, O.V. Motorna, I.O. Shevchuk
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2024-12-01
Series:Researches in Mathematics
Subjects:
Online Access:https://vestnmath.dnu.dp.ua/index.php/rim/article/view/435/435
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