Best approximations of the classes Brp,θ of periodic functions of many variables in uniform metric
Abstract
We obtain estimates exact in order for the best approximations of the classes Br∞,θ of periodic functions of two variables in the metric of L∞ by trigonometric polynomials whose spectrum belongs to a hyperbolic cross. We also investigate the best approximations of the classes Brp,θ,1≤p<∞, of periodic functions of many variables in the metric of L∞ by trigonometric polynomials whose spectrum belongs to a graded hyperbolic cross.Downloads
Published
25.10.2006
Issue
Section
Research articles
How to Cite
Romanyuk, A. S. “Best Approximations of the Classes Brp,θ of Periodic Functions of Many Variables in Uniform Metric”. Ukrains’kyi Matematychnyi Zhurnal, vol. 58, no. 10, Oct. 2006, pp. 1395–1406, https://umj.imath.kiev.ua/index.php/umj/article/view/3541.