On the connection between certain inequalities of the Kolmogorov type for periodic and nonperiodic functions

• Date: 1999
• Main Authors: Babenko, V. F., Selivanova, S. A., Бабенко, В. Ф., Селиванова, С. А.
• 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/4594
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We obtain nonperiodic analogs of the known inequalities that estimateL p -norms of intermediate derivatives of a periodic function in terms of itsL ∞-norms and higher derivative.