engleski

Error estimates of approximations for the complex valued integral transforms

In this survey paper error estimates of approximations in complex domain for the Laplace and Mellin transform are given for functions f which vanish beyond a finite domain [a, b]⊂[0, ∞> and whose derivative belongs to L_{;p};[a, b]. New inequalities involving integral transform of f, integral mean of f and exponential and logarithmic mean of the endpoints of the domain of f are presented. These estimates enables us to obtain two associated numerical quadrature rules for each transform and error bounds of their remainders.

Laplace transform, Mellin transform

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