  In this paper, we study a strong inverse approximation theorem and saturation
order for the family of Kantorovich exponential sampling operators. The class
of log-uniformly continuous and bounded functions, and class of
log-H\"{o}lderian functions are considered to derive these results. We also
prove some auxiliary results including Voronovskaya type theorem, and a
relation between the Kantorovich exponential sampling series and the
generalized exponential sampling series, to achieve the desired plan. Moreover,
some examples of kernels satisfying the conditions, which are assumed in the
hypotheses of our theorems, are discussed.
