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On the Invertibility of the Cauchy singular integral



In this work, we present a numerical solution for singular integral equations of the first kind on the smooth oriented contour with Cauchy type kernel, for this one we use an adapted linear approximation constructed by the author for this goal, based on the Trapezoidal rule. Many examples are treated in order to prove the efficiency of this approximation


Singular integral, interpolation, Hőlder space and Hőlder condition, adapted linear approximation.

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