Approximation of solutions of operator-differential equations by operator polynomials

  • 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
How to Cite
KashpirovskiiA. I., and MytnikY. V. “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.
Section
Research articles