Approximation of functions of two variables by harmonic splines

• Date: 1995
• Main Authors: Klimenko, V. T., Клименко, В. Т.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1995
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5518
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We construct two-dimensional splines and give two versions of an estimate of the deviation of splines from approximated functions. We compare approximations by a planar broken line and by a harmonic spline. We also substantiate the advisability of introduction of the notion of harmonic splines in ma...