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Siberian Journal of Pure and Applied Mathematics, 2018, Volume 18, Issue 2, Pages 60–72
DOI: https://doi.org/10.17377/PAM.2018.18.7 (Mi vngu473) 		 
On simultaneous approximation of functions of two variables and their derivatives by bilinear interpolation splines

M. Sh. Shabozova, U. N. Zevarshoevb

a Dzhuraev Institute of Mathematics, Academy of Sciences of Republic of Tajikistan, 294/4, Aini St., Dushanbe 734063, Tajikistan
b Nazarshoev Khorog State University, 21, Lenina St., Khorog 736000, Tajikistan
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DOI: https://doi.org/10.17377/PAM.2018.18.7
Abstract: In this paper an exact error value of simultaneous approximation of functions of two variables and their partial derivatives by bilinear interpolation splines on some classes of functions defined by the modulus of continuity is founded.
Keywords: approximation of function, bilinear interpolation splines, modulus of continuity.
Received: 07.04.2017
English version:
Journal of Mathematical Sciences, 2020, Volume 246, Issue 6, Pages 800–811
DOI: https://doi.org/10.1007/s10958-020-04783-4
Document Type: Article
UDC: 517.5
Language: Russian
Citation: M. Sh. Shabozov, U. N. Zevarshoev, “On simultaneous approximation of functions of two variables and their derivatives by bilinear interpolation splines”, Sib. J. Pure and Appl. Math., 18:2 (2018), 60–72; J. Math. Sci., 246:6 (2020), 800–811
Citation in format AMSBIB
\Bibitem{ShaZev18}
\by M.~Sh.~Shabozov, U.~N.~Zevarshoev
\paper On simultaneous approximation of functions of two variables and their derivatives by bilinear interpolation splines
\jour Sib. J. Pure and Appl. Math.
\yr 2018
\vol 18
\issue 2
\pages 60--72
\mathnet{http://mi.mathnet.ru/vngu473}
\crossref{https://doi.org/10.17377/PAM.2018.18.7}
\transl
\jour J. Math. Sci.
\yr 2020
\vol 246
\issue 6
\pages 800--811
\crossref{https://doi.org/10.1007/s10958-020-04783-4}
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