On the best approximation of functions of $n$ variables

  • N. P. Korneichuk

Abstract

We propose a new approach to the solution of the problem of the best approximation, by a certain subspace for functions ofn variables determined by restrictions imposed on the modulus of, continuity of certain partial derivatives. This approach is based on the duality theorem and on the representation of a function as a countable sum of simple functions.
Published
25.10.1999
How to Cite
KorneichukN. P. “On the Best Approximation of Functions of $n$ Variables”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 51, no. 10, Oct. 1999, pp. 1352–1359, https://umj.imath.kiev.ua/index.php/umj/article/view/4734.
Section
Research articles