no code implementations • 8 Feb 2021 • A. Sathish Kumar, Prashant Kumar, P. Devaraj
The Kantorovich exponential sampling series at jump discontinuities of the bounded measurable signal f has been analysed.
Functional Analysis Numerical Analysis Numerical Analysis
no code implementations • 21 Jan 2021 • A. Sathish Kumar, Prashant Kumar, P. Devaraj
We analyse the behaviour of the exponential sampling series $S_{w}^{\chi}f$ at jump discontinuity of the bounded signal $f.$ We obtain a representation lemma that is used for analysing the series $S_{w}^{\chi}f$ and we establish approximation of jump discontinuity functions by the series $S_{w}^{\chi}f.$ The rate of approximation of the exponential sampling series $S_{w}^{\chi}f$ is obtained in terms of logarithmic modulus of continuity of functions and the round-off and time-jitter errors are also studied.
Functional Analysis Classical Analysis and ODEs
