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"On an approximate evaluation of the resolvent for Fredholm kernel and its error bounds in the space with weight function p(x)", AIUB Journal of Science and Engineering (AJSE), Vol 9, No 1, August (2010).

• 2010
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Authors S. A. Abou Auf and M. E. Nasr
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publication.type International
Paper Link Open Link
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Abstract
In the present paper we discuss the approximate evaluation of the resolvent R(x,y) for Fredholm kernel k (x,y) in the space with weight function and bounded almost everywhere on , we also discuss the error bounds for the approximate resolvent using the linear polynomial operators. This approximation is discussed for Dirichlet, Vallee – Poussin, Fejer, Rogozinski and Jackson operators.