Abstract :

In this talk, we analyse the Kantorovich exponential sampling series at jump discontinuities of the bounded measurable signal. We establish the representation lemma for the Kantorovich exponential sampling series and using this lemma we discuss certain approximation theorems for discontinuous signals. Further we obtain the degree of approximation in terms of logarithmic modulus of smoothness for these sampling series. Finally we give some graphical representation of approximation of discontinuous signals by the Kantorovich exponential​ sampling series using suitable kernels.