Abstract
The Kantorovich exponential sampling series $$I_{w}^{\chi }f$$ at jump discontinuities of the bounded measurable signal $$f:{\mathbb {R}}^{+} \rightarrow {\mathbb {R}}$$ has been analysed. A representation lemma for the series $$I_{w}^{\chi }f$$ is established and using this lemma certain approximation theorems for discontinuous signals are proved. The degree of approximation in terms of logarithmic modulus of smoothness for the series $$I_{w}^{\chi }f$$ is studied. Further a linear prediction of signals based on past sample values has been obtained. Some numerical simulations are performed to validate the approximation of discontinuous signals f by $$I_{w}^{\chi }f.$$
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
