Best Bilinear Approximations for the Classes of Functions of Many Variables

Authors

  • A. S. Romanyuk
  • V. S. Romanyuk

Abstract

We obtain upper bounds for the values of the best bilinear approximations in the Lebesgue spaces of periodic functions of many variables from the Besov-type classes. In special cases, it is shown that these bounds are order exact.

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Published

25.12.2013

Issue

Vol. 65 No. 12 (2013)

Section

Research articles

How to Cite

Romanyuk, A. S., and V. S. Romanyuk. “Best Bilinear Approximations for the Classes of Functions of Many Variables”. Ukrains’kyi Matematychnyi Zhurnal, vol. 65, no. 12, Dec. 2013, pp. 1681–1699, https://umj.imath.kiev.ua/index.php/umj/article/view/2546.