Approximative characteristics of the isotropic classes of periodic functions of many variables

  • A. S. Romanyuk

Abstract

Exact-order estimates are obtained for the best orthogonal trigonometric approximations of the Besov $(B_{p,θ}^r)$ and Nukol’skii $(H_p^r )$ classes of periodic functions of many variables in the metric of $L_q , 1 ≤ p, q ≤ ∞$. We also establish the orders of the best approximations of functions from the same classes in the spaces $L_1$ and $L_{∞}$ by trigonometric polynomials with the corresponding spectrum.
Published
25.04.2009
How to Cite
Romanyuk, A. S. “Approximative Characteristics of the Isotropic Classes of Periodic Functions of Many Variables”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 4, Apr. 2009, pp. 513-2, https://umj.imath.kiev.ua/index.php/umj/article/view/3036.
Section
Research articles