Pointwise Inequalities of Landau–Kolmogorov Type for Functions Defined on a Finite Segment

  • Yu. V. Babenko

Abstract

For arbitrary t ∈ [0, 1], s ∈ [1, ∞], and A ≥ 2, we determine the unimprovable constant B for the inequality $$\left| {x\prime \left( t \right)} \right| \leqslant A\left\| x \right\|_{L_\infty \left[ {0,1} \right]} + B\left\| {x} \right\|_{L_s \left[ {0,1} \right]} .$$ .
Published
25.02.2001
How to Cite
BabenkoY. V. “Pointwise Inequalities of Landau–Kolmogorov Type for Functions Defined on a Finite Segment”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 53, no. 2, Feb. 2001, pp. 238-43, https://umj.imath.kiev.ua/index.php/umj/article/view/4239.
Section
Short communications