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Properties and applications of \(P_n\)-simple functionals

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Abstract

In this paper some representations of a linear positive functional are established. These results are extended for linear positive operators \(L_n:C[a,b] \rightarrow C[a,b]\). Also, approximation properties of linear positive operators, expressed in terms of moduli of smoothness, are considered. In the last section, the remainder term in various approximation processes is studied.

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Acknowledgments

We are grateful to the anonymous referee for the detailed valuable comments and for the proposed corrections which improve our manuscript. This project is financed from Lucian Blaga University of Sibiu research grants LBUS-IRG-2015-01, No. 2032/7.

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  1. Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, Str. Dr. I. Ratiu, No.5-7, Sibiu, 550012, Romania

    Ana-Maria Acu

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  1. Ana-Maria Acu
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Acu, AM. Properties and applications of \(P_n\)-simple functionals. Positivity 21, 283–297 (2017). https://doi.org/10.1007/s11117-016-0420-6

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