Estimates of the best orthogonal trigonometric approximations of the generalized multidimensional analogues of the Bernoulli kernels and classes $L^\psi_{\beta,1}$ in the space $L_q$

We obtain order estimates of the best orthogonal trigonometric approximation of the functions $D^\psi_{\beta}$ in the space $L_q$, with $1<q<\infty$. These functions are generalized multidimensional analogs of the Bernoulli kernels. The results obtained are applied to establish...

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Datum:2016
Hauptverfasser: Shvai, K. V., Швай, К. В.
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Інститут математики НАН України 2016
Online Zugang:https://trim.imath.kiev.ua/index.php/trim/article/view/225
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Назва журналу:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine