Classes of Functions with Bounded Mixed Derivative

Roald M. Trigub and Eduard S. Bellinsky
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Roald M. Trigub: Donetsk National University
Eduard S. Bellinsky: University of West Indies

Chapter Chapter 11 in Fourier Analysis and Approximation of Functions, 2004, pp 477-510 from Springer

Abstract: 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: Trigonometric Polynomial; Extremal Function; Interpolation Property; Multidimensional Case; Maximal Subset (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-1-4020-2876-2_11

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