Approximation of Bounded Continuous Functions by Linear Combinations of Phillips Operators

Approximation of Bounded Continuous Functions by Linear Combinations of Phillips Operators

We study the approximation properties of linear combinations of the so-called Phillips operators, which can be considered as genuine Szász-Mirakjan-Durrmeyer operators. As main result, we prove a direct estimate for the rate of approximation of bounded continuous functions f E C[0,x), measured in C|...

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Bibliographic Details
Main Author: Tachev Gancho
Format: Article
Language:English
Published: De Gruyter 2014-07-01
Series:Demonstratio Mathematica
Subjects:
and phrases: linear combinations
Phillips operators
simultaneous approximation
Ditzian-Totik moduli of smoothness
Online Access:http://www.degruyter.com/view/j/dema.2014.47.issue-3/dema-2014-0053/dema-2014-0053.xml?format=INT

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http://www.degruyter.com/view/j/dema.2014.47.issue-3/dema-2014-0053/dema-2014-0053.xml?format=INT

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