A. S. Serdyuk, I. V. Sokolenko
Published 2019-06-06Version 1
We find asymptotic equalities for the exact upper bounds of approximations by Fourier sums of Weyl-Nagy classes $W^r_{\beta,p}, 1\le p\le\infty,$ for rapidly growing exponents of smoothness $r$ $(r/n\rightarrow\infty)$ in the uniform metric. We obtain similar estimates for approximations of the classes $W^r_{\beta,1}$ in metrics of the spaces $L_p, 1\le p\le\infty$.
Approximation by Fourier sums in classes of Weyl--Nagy differentiable functions with high exponent of smoothness
Approximation by linear methods of classes of $(ψ,\barβ)-$differentiable functions
Order estimation of the best approximations and of the approximations by Fourier sums of classes of $(ψ,β)$--diferentiable functions
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