Sharp Estimates of the Error of Interpolation by Bilinear Splines for Some Classes of Functions

M. Sh. Shabozov^ab, S. N. Mekhmonzoda<sup>c

a</sup> Institute of Mathematics, Academy of Sciences of Republic of Tajikistan, Dushanbe
^b Russian-Tajik Slavonic University
^c Tajik National University, Dushanbe

Abstract: For some classes of functions of two variables defined by their moduli of continuity, sharp upper bounds for the approximation of functions by interpolation bilinear splines are obtained.

Keywords: bilinear interpolation spline, modulus of continuity, Steklov function.

UDC: 517.5

Received: 12.03.2016
Revised: 12.11.2016

DOI: 10.4213/mzm11212

 English version: Mathematical Notes, 2017, 102:3, 417–423

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