On correlation between sharp Kolmogorov type inequalities and sharp Kolmogorov–Remez type inequalities

• Date: 2021
• Main Authors: Kofanov, V. A., Кофанов, Владимир Александрович, Кофанов, В. О.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6310
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We establish a new theorem on correlation between the sharp constants in the Kolmogorov type inequalities and the sharp constants in the Kolmogorov–Remez type inequalities for differentiable periodic functions. As a consequence, we obtain new sharp Kolmogorov–Remez type inequalities for s...