On the approximation by the poynomials of S. M. Bershtein type of the Hursa problem for nonlinear equation of hyperbolic type

• Date: 1992
• Main Authors: Makhmudov , A. P., Le Dyk Kiem, Махмудов , А. П., Ле Дык Кием
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8044
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Using Bernshtein type polynomials for functions of two variables, a scheme is given for successive approximations, and its uniform convergence to the unique solution of the Goursat problem for a nonlinear hyperbolic equation is proved.