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  Volume 10, Issue 3, Article 61
 
Approximation by Modified Szász-Mirakyan Operators

    Authors: L. Rempulska, S. Graczyk,  
    Keywords: Szász-Mirakyan operator, Polynomial weight space, Order of approximation, Voronovskaya type theorem.  
    Date Received: 23/12/2008  
    Date Accepted: 28/05/2009  
    Subject Codes:

41A36, 41A25.

 
    Editors: Ioan Gavrea,  
 
    Abstract:

We introduce the modified Szász-Mirakyan operators $ S_{n;r}$ related to the Borel methods $ B_r$ of summability of sequences. We give theorems on approximation properties of these operators in the polynomial weight spaces.

         
       
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