Interlination of the functions of 2 variables on $M (M\geq2)$ straight lines with the highest algebraic accuracy

• Date: 1992
• Main Authors: Litvin, O.N., Литвин, А.Н.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8251
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A general algorithm is proposed for constructing interlineation $\bar O_{MN}f(x)$, $x = (x_1,x_2)$  with the properties $$\frac{\partial ^s \bar O_{MN} f}{\partial v_k^s }\Bigg|_{\Gamma _k } = \frac{\partial ^s f}{\partial v_k^s }\Bigg|_{\Gamma _k } = {\varphi _{ks} (x)}\Bigg|_{\Gamma _...