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

  • A. S. Romanyuk
  • V. S. Romanyuk


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.
How to Cite
Romanyuk, A. S., and V. S. Romanyuk. “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,
Research articles