We present some inequalities of Ostrowski and trapezoid type with complex exponential
weight, for complex-valued absolutely continuous functions. These inequalities are related to
Pompeiu’s mean value theorem. Special cases of these inequalities are applied to obtain (i) some
approximation results for the finite Fourier and Laplace transforms; (ii) refinements of the Ostrowski
and trapezoid inequalities; and (iii) new Ostrowski and trapezoid type inequalities.