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Quadrature methods for integral equations of the second kind over infinite intervals

Quadrature methods for integral equations of the second kind over infinite intervals

Convergence results are proved for a class of quadrature methods for integral equations of the form <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="y left-parenthesis t right-parenthesis equals f left-parenthesis t right-parenthesis plus integral Subscript 0 Superscript normal infinity Baseline k left-parenthesis t comma s right-parenthesis y left-parenthesis s right-parenthesis d s"> <mml:semantics> …