Abstract
The aim of this note is that by using the so-called max-product method to associate to some generalized sampling approximation linear operators and to the Whittaker cardinal series, nonlinear sampling operators for which Jackson-type approximation orders in terms of the moduli of smoothness are obtained. In the case of max-product Whittaker operator, for positive valued functions, essentially a better order of approximation is obtained.
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The authors thank the referees for reading so carefully the manuscript and for their very useful remarks.
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Coroianu, L., Gal, S.G. Approximation by Nonlinear Generalized Sampling Operators of Max-Product Kind. STSIP 9, 59–75 (2010). https://doi.org/10.1007/BF03549524
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DOI: https://doi.org/10.1007/BF03549524
Key words and phrases
- Sampling theory
- signal theory
- Whittaker cardinal series
- nonlinear generalized sampling operators of max-product kind
- Jackson-type estimates