We use the method of successive approximations and Faber polynomials to obtain an approximate solution of a dominant singular integral equation with Hölder continuous coefficients and conjugation on the Lyapunov curve. Moreover, the conditions of convergence in the L2 and H(𝛼) spaces are presented.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 9, pp. 1289–1296, September, 2021. Ukrainian DOI: 10.37863/umzh.v73i9.758.
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Pylak, D., Wójcik, P. Approximate Solution of a Dominant Singular Integral Equation with Conjugation. Ukr Math J 73, 1495–1504 (2022). https://doi.org/10.1007/s11253-022-02008-2
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DOI: https://doi.org/10.1007/s11253-022-02008-2