On exact constants in inequalities for norms of derivatives on a finite segment

• Date: 1999
• Main Authors: Babenko, V. F., Uedraogo, Zh. B., Бабенко, В. Ф., Удраого, Ж. Б.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1999
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4588
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove that, in an additive inequality for norms of intermediate derivatives of functions defined on a finite segment and equal to zero at a given system of points, the least possible value of a constant coefficient of the norm of a function coincides with the exact constant in the corresponding M...