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

• Дата: 2025
• Автори: Noreddin , M. M., Tikhonenko , N. Ya., Нореддин , М. М., Тихоненко , Н. Я.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2025
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/9361
• Назва журналу: 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...