Approximation of solutions of operator-differential equations by operator polynomials

Authors

  • A. I. Kashpirovskii
  • Yu. V. Mytnik

Abstract

We prove theorems that characterize the classes of functions whose best approximations by algebraic polynomials tend to zero with given order. We construct approximations of solutions of operator-differential equations by polynomials in the inverse operator.

Published

25.11.1998

Issue

Section

Research articles

How to Cite

Kashpirovskii, A. I., and Yu. V. Mytnik. “Approximation of Solutions of Operator-Differential Equations by Operator Polynomials”. Ukrains’kyi Matematychnyi Zhurnal, vol. 50, no. 11, Nov. 1998, pp. 1506–1516, https://umj.imath.kiev.ua/index.php/umj/article/view/4802.