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The Best m-Term Trigonometric Approximations of the Classes \(L_{\beta ,p}^\Psi \) in Uniform Metric

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Abstract

We obtain an exact order estimate for the best approximation of the classes \(L_{\beta ,p}^\Psi \) of functions of one variable in the space L .

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REFERENCES

  1. A. I. Stepanets, Classification and Approximation of Periodic Functions [in Russian], Naukova Dumka, Kiev (1987).

    Google Scholar 

  2. 2. A. S. Fedorenko, “The best m-term trigonometric approximations of functions from the classes \(L_{\beta , p}^\psi\),” in: Fourier Sums: Theory and Applications [in Ukrainian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1998).

    Google Scholar 

  3. A. S. Fedorenko, “On the best m-term trigonometric and orthogonal trigonometric approximations of functions from the classes \(L_{\beta , p}^\psi\),” Ukr. Mat. Zh., 51, No. 12, 1719–1721 (1999).

    Google Scholar 

  4. A. S. Fedorenko, “The best m-term trigonometric approximations of classes of (Ψ,β)-differentiable functions of one variable,” Ukr. Mat. Zh., 52, No. 6, 850–856 (2000).

    Google Scholar 

  5. E. S. Belinskii, “Decomposition theorems and approximation by a “floating” system of exponentials,” Trans. Amer. Math. Soc., 350, No. 1, 43–53 (1998).

    Google Scholar 

  6. S. M. Nikol'skii, Approximation of Functions of Many Variables and Imbedding Theorems [in Russian], Nauka, Moscow (1989).

    Google Scholar 

  7. A. S. Romanyuk, “Inequalities for the L p-norms of (Ψ,β)-derivatives and the Kolmogorov widths of the classes \(L_{\beta , p}^\psi\), of functions? of many variables,” in: Investigations in the Theory of Approximation of Functions [in Russian], Institute of Mathematics,?Ukrainian Academy of Sciences, Kiev (1987).

    Google Scholar 

  8. A. S. Fedorenko, “On the best m-term trigonometric approximations of classes of (Ψ,β)-differentiable functions of one variable,” in: Boundary-Value Problems for Differential Equations [in Ukrainian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1998).

    Google Scholar 

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Fedorenko, A.S., Fedorenko, O.S. The Best m-Term Trigonometric Approximations of the Classes \(L_{\beta ,p}^\Psi \) in Uniform Metric. Ukrainian Mathematical Journal 56, 161–165 (2004). https://doi.org/10.1023/B:UKMA.0000031711.54563.58

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  • DOI: https://doi.org/10.1023/B:UKMA.0000031711.54563.58

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