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.
Positivity – Springer Journals
Published: May 11, 2016
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