engleski

Error bounds for approximations of the integral transforms in the complex domain

Error estimates of the approximations in complex domain for several integral transforms (Laplace transform, Mellin transform, Laplace-Carson transform) are given for functions f which vanish beyond a finite domain and whose derivative belongs to Lp spaces. New inequalities concerning these integral transforms of f, integral mean of f, exponential mean and logarithmic mean of the endpoints of the domain of f are presented and used to obtain associated numerical rules and error bounds of their remainders.

Laplace transform; Mellin transform; Laplace-Carson transform; quadrature formula

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