Approximation of discontinuous functions by Kantorovich exponential sampling series
The Kantorovich exponential sampling series Iwχf at jump discontinuities of the bounded measurable signal f: R+→ R has been analysed. A representation lemma for the series Iwχf is established and using this lemma certain approximation theorems for discontinuous signals are proved. The degree of appr...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Birkhauser
2022
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| Subjects: | |
| Online Access: | View Fulltext in Publisher |
| Summary: | The Kantorovich exponential sampling series Iwχf at jump discontinuities of the bounded measurable signal f: R+→ R has been analysed. A representation lemma for the series Iwχf 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 Iwχf 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 Iwχf. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG. |
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| ISBN: | 16642368 (ISSN) |
| DOI: | 10.1007/s13324-022-00680-y |