Permutations and piecewise-constant approximation of continuous functions of <em class="a-plus-plus">n</em> variables

  • N. P. Korneichuk

Abstract

We consider the problem of approximation of a continuous function f given on an n-dirnensional cube by step functions in the metrics of C and L p. We obtain exact error estimates in terms of the modulus of continuity of the function f or a special permutation of it.
Published
25.07.1998
How to Cite
KorneichukN. P. “Permutations and Piecewise-Constant Approximation of Continuous Functions of <em class="a-Plus-plus">n</em&gt; Variables”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 7, July 1998, pp. 907–918, https://umj.imath.kiev.ua/index.php/umj/article/view/4871.
Section
Research articles