Asymptotic estimates for the best trigonometric and bilinear approximations of classes of functions of several variables

  • A. S. Romanyuk
  • V. S. Romanyuk

Abstract

We obtain exact order estimates for the best $M$-term trigonometric approximations of the Besov classes $B_{∞,θ}^r$ in the space $L_q$. We also determine the exact orders of the best bilinear approximations of the classes of functions of $2d$ variables generated by functions of d variables from the classes $B_{∞,θ}^r$ with the use of translation of arguments.
Published
25.04.2010
How to Cite
RomanyukA. S., and RomanyukV. S. “Asymptotic Estimates for the Best Trigonometric and Bilinear Approximations of Classes of Functions of Several Variables”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 4, Apr. 2010, pp. 536–551, https://umj.imath.kiev.ua/index.php/umj/article/view/2886.
Section
Research articles