On lower bounds for the approximation of individual functions by local splines with nonfixed nodes

  • A. A. Ligun
  • A. A. Shumeiko

Abstract

For functions with the integrable βth power, where β = (r + 1 + 1/p)−1, we obtain asymptotically exact lower bounds for the approximation by local splines of degreer and defectkr/2 in the metric ofL p.
Published
25.12.1999
How to Cite
LigunA. A., and ShumeikoA. A. “On Lower Bounds for the Approximation of Individual Functions by Local Splines With Nonfixed Nodes”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 51, no. 12, Dec. 1999, pp. 1628–1637, https://umj.imath.kiev.ua/index.php/umj/article/view/4767.
Section
Research articles