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Some Problems of Simultaneous Approximation of Functions of Two Variables and Their Derivatives by Interpolation Bilinear Splines

Abstract

Exact estimates for the errors of approximation of functions of two variables and their derivatives by interpolation bilinear splines are obtained on certain classes.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 2, pp. 147–157, February, 2005.

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Vakarchuk, S.B., Myskin, K.Y. Some Problems of Simultaneous Approximation of Functions of Two Variables and Their Derivatives by Interpolation Bilinear Splines. Ukr Math J 57, 173–185 (2005). https://doi.org/10.1007/s11253-005-0180-0

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Keywords

  • Simultaneous Approximation
  • Interpolation Bilinear
  • Exact Estimate
  • Bilinear Spline