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Matematicheskie Zametki, 2017, Volume 102, Issue 3, Pages 462–469
DOI: https://doi.org/10.4213/mzm11212 (Mi mzm11212) 		 
Sharp Estimates of the Error of Interpolation by Bilinear Splines for Some Classes of Functions

M. Sh. Shabozovab, S. N. Mekhmonzodac

a Institute of Mathematics, Academy of Sciences of Republic of Tajikistan, Dushanbe
b Russian-Tajik Slavonic University
c Tajik National University, Dushanbe
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DOI: https://doi.org/10.4213/mzm11212
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.
Received: 12.03.2016
Revised: 12.11.2016
English version:
Mathematical Notes, 2017, Volume 102, Issue 3, Pages 417–423
DOI: https://doi.org/10.1134/S0001434617090115
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: M. Sh. Shabozov, S. N. Mekhmonzoda, “Sharp Estimates of the Error of Interpolation by Bilinear Splines for Some Classes of Functions”, Mat. Zametki, 102:3 (2017), 462–469; Math. Notes, 102:3 (2017), 417–423
Citation in format AMSBIB
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