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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 8
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Articles

Uniform approximation of some classes of linear positive operators expressed by series

Pages 1662-1669 | Received 16 Nov 2013, Accepted 27 Jun 2014, Published online: 31 Jul 2014
 

Abstract

The paper deals with a general class of linear positive approximation processes designed using series. For continuous and bounded functions defined on unbounded interval we give rate of convergence in terms of the usual modulus of smoothness. The main goal is to identify functions for which these operators provide uniform approximation over unbounded intervals. Particular cases are delivered.

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Acknowledgements

 

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