On convergence of the method of orthogonal polynomials of the approximate solution оf the second order integral equations with $\Pi$-kernels

• Date: 2025
• Main Authors: Noreddin , M. M., Tikhonenko , N. Ya., Нореддин , М. М., Тихоненко , Н. Я.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2025
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9361
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The method of orthogonal polynomials for approximate solution of integral equations of the first kind with Π-kernels is substantiated. The solvability of the corresponding algebraic systems is proved, and estimates for the rate of the convergence of approximate solutions to exact ones are establishe...