On inequalities of Kolmogorov-Hörmander type for functions bounded on a discrete net

We obtain a strengthened version of the Hörmander inequality for functions ƒ: ℝ → ℝ, in which, instead of ‖ƒ‖∞, we use the least upper bound of the values of f on a discrete set of points.

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Bibliographic Details
Date:1997
Main Authors: Babenko, V. F., Vakarchuk, M. B., Бабенко, В. Ф., Вакарчук, М. Б.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1997
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5090
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal