ON THE INTEGRAL EQUATION OF THE FIRST KIND RESIDUAL IN THE PROJECTION METHOD

ON THE INTEGRAL EQUATION OF THE FIRST KIND RESIDUAL IN THE PROJECTION METHOD

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In the previous papers for the integral Fredgholm equation of the first kind with a degenerate kernel the generalized (non regularizing) version of the projection method was developed, based on the arbitrary choice of Nappy Balm the basis combined with some a priori estimations for the error of the solution.These estimations depend on the SPF30 LIP BALM residual which was neglected earlier.The results of the present paper admit to take the residual into account and show that, generally speaking, this accounting is essential.