Building and research of operator approximation of functions of two variables with preservation of class Cr(R2) for traces of derivatives to a fixed order in the specified line

• Date: 2016
• Main Authors: Сергієнко, І. В., Литвин, О. М., Литвин, О. О., Ткаченко, О. В., Грицай, О. Л.
• Format: Article
• Language: Ukrainian
• Published: Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України 2016
• Subjects: preservation of differentiability class; function traces; the traces of the derivatives on the line; Taylor polynomial in one variable; УДК 519.6
• Online Access: https://journals.uran.ua/jme/article/view/71882
• Journal Title: Journal of Mechanical Engineering

The problem of constructing a function with preservation of differentiability class has very important applications in the theory and practice of solving boundary value problems in which the boundary conditions are expressed by differential operators of the first, second and higher orders. In partic...