On inequalities for norms of intermediate derivatives on a finite interval
Abstract
For functionsf which have an absolute continuous (n−1)th derivative on the interval [0, 1], it is proved that, in the case ofn>4, the inequality ‖f(n−2)‖∞⩽4n−2(n−1)!‖f‖∞+‖f(n)‖∞/2 holds with the exact constant 4 n−2(n−1)!.Downloads
Published
25.01.1995
Issue
Section
Short communications
How to Cite
Babenko, V. F., et al. “On Inequalities for Norms of Intermediate Derivatives on a Finite Interval”. Ukrains’kyi Matematychnyi Zhurnal, vol. 47, no. 1, Jan. 1995, pp. 105–107, https://umj.imath.kiev.ua/index.php/umj/article/view/5387.