Convergence in the integral metric of the general projective method for solving singular integral equations of the first kind with the Cauchy kernel |
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Authors: | A V Ozhegova |
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Institution: | (1) Kazan State University, ul. Kremlyovskaya 18, Kazan, 420008, Russia |
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Abstract: | We study a projective method for solving singular integral equations of the first kind with the Cauchy kernel. Depending on the index of the equation, we introduce pairs of weight spaces which represent a restriction of the space of summable functions. We prove the correctness of the stated problem. We obtain sufficient conditions for the convergence of the projective method in the integral metric. |
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Keywords: | singular integral equation of the first kind projective method approximation |
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