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

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...

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Bibliographic Details
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
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal