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Estimates for Approximation Characteristics of the Besov Classes B p,θ r of Periodic Functions of Many Variables in the Space Lq. I

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Abstract

We obtain order estimates for the approximation of the classes B p,θ r of periodic functions of many variables in the space L q by using operators of orthogonal projection and linear operators satisfying certain conditions.

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Authors and Affiliations

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

    A. S. Romanyuk

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  1. A. S. Romanyuk
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Romanyuk, A.S. Estimates for Approximation Characteristics of the Besov Classes B p,θ r of Periodic Functions of Many Variables in the Space Lq. I. Ukrainian Mathematical Journal 53, 1473–1482 (2001). https://doi.org/10.1023/A:1014314708184

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  • DOI: https://doi.org/10.1023/A:1014314708184

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