On interpolation approximation of differentiable operators in a Hilbert space

  • T. N. Popovicheva
  • V. V. Khlobystov

Abstract

In a Hilbert space, we construct an interpolation approximation of the Taylor polynomial for differentiable operators. By using this approximation, we obtain estimates of accuracy for analytic operators that strengthen previously known results and for operators containing finitely many Fréchet derivatives.
Published
25.04.2006
How to Cite
Popovicheva, T. N., and V. V. Khlobystov. “On Interpolation Approximation of Differentiable Operators in a Hilbert Space”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, no. 4, Apr. 2006, pp. 554–563, https://umj.imath.kiev.ua/index.php/umj/article/view/3473.
Section
Research articles