On the Sendov problem on the Whitney interpolation constant
Abstract
For a function ƒ continuous on [0, 1] and satisfying the equalities f(0)=f(13)=f(23)=f(1)=0, we prove that |f(x)|≤2ω4(14,f),x∈[0,1], where ω4(t,ƒ) is the fourth modulus of smoothness of the function ƒ.Downloads
Published
25.05.1998
Issue
Section
Short communications
How to Cite
Danilenko, I. G. “On the Sendov Problem on the Whitney Interpolation Constant”. Ukrains’kyi Matematychnyi Zhurnal, vol. 50, no. 5, May 1998, pp. 732–734, https://umj.imath.kiev.ua/index.php/umj/article/view/4911.