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Keywords:
$L_p$-norms of an integral operator; Hermitian Fredholm integral operator
$L_p$-norms of an integral operator; Hermitian Fredholm integral operator
Summary:
A recurrence relation for the computation of the $L_p$-norms of an Hermitian Fredholm integral operator is derived and an expression giving approximately the number of eigenvalues which in absolute value are equal to the spectral radius is determined. Using the $L_p$-norms for the approximation of the spectral radius of this operator an a priori and an a posteriori bound for the error are obtained. Some properties of the a posteriori bound are discussed.
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