On best nonsymmetric $L_1$-approximations of some classes of convolutions with generalized splines

We obtain the exact values of the best non-symmetric approximations of the classes of convolutions with $CVD$-kernels by splines $S_{2n,K_1}$ and $S_{2n,K_2}^{1}$ such that $ \bigvee _{0}^{2 \pi} \left( s \right) \le 1$ and $ \| s \| \ _{1} \le 1 $ respectively.

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Bibliographic Details
Date:2015
Main Authors: Shevchenko, I. A., Шевченко, И. А.
Format: Article
Language:Russian
Published: Інститут математики НАН України 2015
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/305
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine