  In this paper, the behavior of the sampling Kantorovich operators has been
studied, when discontinuous signals are considered in the above sampling
series. Moreover, the rate of approximation for the family of the above
operators is estimated, when uniformly continuous and bounded signals are
considered. Further, also the problem of the linear prediction by sampling
values from the past is analyzed. At the end, the role of duration-limited
kernels in the previous approximation processes has been treated, and several
examples have been provided.
