Title of article
Approximate solution of hypersingular integral equations with Cauchy kernel
Author/Authors
Aliev, Rashid A. Baku State University, Baku, Azerbaijan , Gadjieva, Chinara A. Baku State University, Baku, Azerbaijan
Pages
10
From page
20
To page
29
Abstract
In the present paper, the hypersingular integral operator with Cauchy kernel H is approximated by a sequence of operators of the special form, it is proved that, the approximating operators
Hn strongly converges to the operator H, for an algebraic polynomial of degree not higher than n, the
operators Hn and H coincide, and is given a new method for the approximate solution of hypersingular
integral equations with Cauchy kernel.
Keywords
hypersingular integral operator , Cauchy kernel , hypersingular integral equation , best mean-square approximation
Journal title
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
Serial Year
2017
Full Text URL
Record number
2611375
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