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

• Datum: 1997
• Hauptverfasser: Babenko, V. F., Vakarchuk, M. B., Бабенко, В. Ф., Вакарчук, М. Б.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1997
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5090
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.