Inequalities for polynomial splines

  • N. P. Korneichuk

Abstract

We establish exact estimates for the variation on a period of the derivative s (r)(t) of a periodic polynomial spline s(t) of degree r and defect 1 with respect to a fixed partition of [0, 2π) under the condition that \(\left\| {s^{(r)} } \right\|_X = 1\) , where X=C or L 1
Published
25.01.2000
How to Cite
KorneichukN. P. “Inequalities for Polynomial Splines”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 52, no. 1, Jan. 2000, pp. 58-65, https://umj.imath.kiev.ua/index.php/umj/article/view/4397.
Section
Research articles