Classes of Functions with Bounded Mixed Derivative
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.
KeywordsTrigonometric Polynomial Extremal Function Interpolation Property Multidimensional Case Maximal Subset
Unable to display preview. Download preview PDF.