Inequalities for derivatives of functions on an axis with nonsymmetrically bounded higher derivatives

Authors

  • V. A. Kofanov

Abstract

For nonperiodic functions xLr(R) defined on the entire real axis, we prove analogs of the Babenko inequality. The obtained inequalities estimate the norms of derivatives ||x(k)±||Lq[a,b] on an arbitrary interval [a,b]R such that x(k)(a)=x(k)(b)=0 via local Lp-norms of the functions x and uniform nonsymmetric norms of the higher derivatives x(r) of these functions.

Published

25.05.2012

Issue

Section

Research articles

How to Cite

Kofanov, V. A. “Inequalities for Derivatives of Functions on an Axis With Nonsymmetrically Bounded Higher Derivatives”. Ukrains’kyi Matematychnyi Zhurnal, vol. 64, no. 5, May 2012, pp. 636-48, https://umj.imath.kiev.ua/index.php/umj/article/view/2604.