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  Volume 10, Issue 1, Article 30
 
About a Class of Linear Positive Operators Obtained by Choosing the Nodes

    Authors: Ovidiu T. Pop, Mircea Farcas,  
    Keywords: Linear positive operators, convergence theorem, the first order modulus of smoothness, approximation theorem.  
    Date Received: 15/06/07  
    Date Accepted: 18/03/09  
    Subject Codes:

41A10, 41A25, 41A35, 41A36.

 
    Editors: Sever S. Dragomir,  
 
    Abstract:

In this paper we consider the given linear positive operators $ (L_m)_{mgeq1} $ and with their help, we construct linear positive operators $ (mathcal{K}_m)_{mgeq1}$. We study the convergence, the evaluation for the rate of convergence in terms of the first modulus of smoothness for the operators $ (mathcal{K}_m)_{mgeq1}$.

         
       
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