Classes of Functions with Bounded Mixed Derivative

  • Roald M. Trigub
  • Eduard S. Bellinsky

Abstract

For classes of periodic functions of m real variables, we obtain estimates of ε-entropy in the uniform and integral metrics, and estimates of Kolmogorov and trigonometric widths. These results fall short of the completeness of those in the one-dimensional case, but definitely have a flavor of the multidimensional case.

Keywords

Entropy Convolution 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • Roald M. Trigub
    • 1
  • Eduard S. Bellinsky
    • 2
  1. 1.Donetsk National UniversityDonetskUkraine
  2. 2.University of West IndiesBridgetownBarbados

Personalised recommendations