Approximation of Hypersingular Integral Operators With Cauchy Kernel

  title={Approximation of Hypersingular Integral Operators With Cauchy Kernel},
  author={Rashid A. Aliev and Chinara A. Gadjieva},
ABSTRACTIn the present article, the hypersingular integral operator with Cauchy kernel H is approximated by a sequence of operators of a special form, and it is proved that the approximating operators Hn strongly converge to the operator H and for an algebraic polynomial of degree not higher than n the operators Hn and H coincide. Therefore, the estimate established in this article yields more exact results in terms of the convergence rate than traditional methods. At the end we give the… CONTINUE READING


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