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Trigonometric widths of the classes B rp,θ of functions of many variables in the space L q

Ukrainian Mathematical Journal volume 50, pages 1242–1252 (1998)Cite this article

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Abstract

We obtain estimates exact in order for the trigonometric widths of the Besov classes B rp,θ of periodic functions of many variables in the space L q for 1 ≤ p ≤ 2 < q < p/(p - 1).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. S. Romanyuk

Authors
  1. A. S. Romanyuk
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 8, pp. 1089–1097, August, 1998.

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Romanyuk, A.S. Trigonometric widths of the classes B rp,θ of functions of many variables in the space L q . Ukr Math J 50, 1242–1252 (1998). https://doi.org/10.1007/BF02513096

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  • DOI: https://doi.org/10.1007/BF02513096

Keywords

  • Trigonometric Polynomial
  • Integer Lattice
  • Minkowski Inequality
  • Mixed Derivative
  • Bilinear Approximation