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Trigonometric Widths of the Classes B Ω p,θ of Periodic Functions of Many Variables

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Abstract

We obtain exact order estimates for the trigonometric widths of the classes \(B_{p,{\theta }}^\Omega\) of periodic functions of many variables in the space L q, 1 < p ≤ 2 ≤ q < p/(p − 1).

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

    S. A. Stasyuk

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  1. S. A. Stasyuk
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Stasyuk, S.A. Trigonometric Widths of the Classes B Ω p,θ of Periodic Functions of Many Variables. Ukrainian Mathematical Journal 54, 862–868 (2002). https://doi.org/10.1023/A:1021647800536

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