On Inequalities of the Landau–Kolmogorov–Hörmander Type on a Segment and Real Straight Line

• Datum: 2000
• Hauptverfasser: Kofanov, V. A., Кофанов, В. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2000
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4571
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We prove inequalities of the Landau–Kolmogorov–Hörmander type for the uniform norms (on some subinterval) of positive and negative parts of intermediate derivatives of functions defined on a finite interval. By using the limit transition, we obtain a new proof or the well-known Hörmander result....