Approximate solution of weakly singular integral equations by mechanical quadrature method

الملخص EN

This article deals with the approximate solution of the weakly singular integral equations.

The theoretical foundation of numerical schemes of Quadrature method in the pair of Zigmund spaces and Lebesgue spaces L2.

Is proposed.

The proof of solvability of the numerical scheme of Quadrature method id obtained.

They also determined the evaluations of norms of the Zigmund spaces and Lebesgue spaces