Abstract
We obtain order estimates for the best trigonometric approximations of the classes L β, p ψ of periodic functions of many variables in the space L q for 1 < p < q ≤ 2 and 1 < q ≤ p < ∞.
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Konsevich, N.M. Estimates of the Best M-Term Trigonometric Approximations of the Classes Lβ, pψ of Periodic Functions of Many Variables in the Space Lq . Ukrainian Mathematical Journal 52, 1029–1039 (2000). https://doi.org/10.1023/A:1005221531754
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DOI: https://doi.org/10.1023/A:1005221531754