engleski

Error estimates for approximations of the Laplace transform of functions in Lp spaces

In this paper error estimates of approximations in complex domain for the Laplace transform are given for functions which vanish beyond a finite domain and whose derivatives are from Lp spaces. New inequalities concerning the Laplace transform, as well as estimates of the difference between the two Laplace transforms are presented and used to obtain two associated numerical rules and error bounds of their remainders.

Laplace transform; Montgomery identity; numerical quadrature formula

nije evidentirano