Properties and applications of $$P_n$$ P n -simple functionals

Properties and applications of $$P_n$$ P n -simple functionals In this paper some representations of a linear positive functional are established. These results are extended for linear positive operators $$L_n:C[a,b] \rightarrow C[a,b]$$ L n : C [ a , b ] → 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Properties and applications of $$P_n$$ P n -simple functionals

Positivity , Volume 21 (1) – May 11, 2016
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Publisher
Springer International Publishing
Copyright
Copyright © 2016 by Springer International Publishing
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-016-0420-6
Publisher site
See Article on Publisher Site

Abstract

In this paper some representations of a linear positive functional are established. These results are extended for linear positive operators $$L_n:C[a,b] \rightarrow C[a,b]$$ L n : C [ a , b ] → 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.

Journal

PositivitySpringer Journals

Published: May 11, 2016

References

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