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., 2018, Volume 18, Issue 2,Pages <nobr>60

On simultaneous approximation of functions of two variables and their derivatives by bilinear interpolation splines

M. Sh. Shabozov^a, U. N. Zevarshoev^b

^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

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.

UDC: 517.5

Received: 07.04.2017

DOI: 10.17377/PAM.2018.18.7