Constructive Characteristic of ho¨ Lder Classes and M-Term Approximations in the Multiple Haar Basis

Authors

  • V. S. Romanyuk

Abstract

In terms of the best polynomial approximations in the multiple Haar basis, we obtain a constructive characteristic of the Hölder classes H p α of functions defined on the unit cube I d of the space ℝ d under the restriction 0<α<1p1 . We also solve the problem of order estimates of the best m-term approximations in the Haar basis of classes H p α in the Lebesgue spaces L q ( I d ).

Published

25.03.2014

Issue

Section

Research articles

How to Cite

Romanyuk, V. S. “Constructive Characteristic of Ho¨ Lder Classes and M-Term Approximations in the Multiple Haar Basis”. Ukrains’kyi Matematychnyi Zhurnal, vol. 66, no. 3, Mar. 2014, pp. 349–360, https://umj.imath.kiev.ua/index.php/umj/article/view/2137.