Approximate solution of a dominant singular integral equation with conjugation

UDC 517.5In the present paper, the method of successive approximations and Faber polynomials are used to derive an approximate solution of a dominant singular integral equation with Holder continuous coefficients and conjugation on the Lyapunov curve. Moreover, conditions of convergence in the $L_2$...

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Bibliographic Details
Date:2021
Main Authors: Pylak, D., Wójcik, P., P.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2021
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/758
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal