Classes of Functions with Bounded Mixed Derivative

  • Roald M. Trigub
  • Eduard S. Bellinsky


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.


Trigonometric Polynomial Extremal Function Interpolation Property Multidimensional Case Maximal Subset 
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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

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