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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2011, Issue 5(86), Pages 53–59 (Mi vsgu78)  
Mathematics

On one approximation estimate

M. B. Medegei

Dept. of Applied Mechanics and Engineering Graphics, Trans-Baikal Railway Transport Institute, Chita, 672040, Russian Federation
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Abstract: Linear operators satisfying some conditions are considered. The given operators are a particular kind of class $S_{2m}$ operators (by P. P. Korovkin). The estimate of the value $\left|L_n(f,x)-f(x)\right|$ for the $f \in W^2H^\alpha_M$ is received, $L_n$ belongs to the class $S_6$. For the estimate derivation the interpolation method is used, described in the works by Yu. G. Abakumov and O. N. Shestakova.
Keywords: linear operators, approximation estimate, interpolation method.
Received: 30.04.2011
Revised: 30.04.2011
Document Type: Article
UDC: 517.51
Language: Russian
Citation: M. B. Medegei, “On one approximation estimate”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, no. 5(86), 53–59
Citation in format AMSBIB
\Bibitem{Med11}
\by M.~B.~Medegei
\paper On one approximation estimate
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2011
\issue 5(86)
\pages 53--59
\mathnet{http://mi.mathnet.ru/vsgu78}
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