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    STUDIA MATHEMATICA - Issue no. 2 / 2011  
         
  Article:   NOTE ON Q-BERNSTEIN-SCHURER OPERATORS .

Authors:  .
 
       
         
  Abstract:  

In this paper, we introduce a generalization of the Bernstein-Schurer operators based on q-integers and get a Bohman-Korovkin type approximation theorem of these operators. We also compute the rate of convergence by using the first modulus of smoothness.

Mathematics Subject Classification (2010): 41A36.

Keywords: q-integers, positive linear operator, Bernstein operator, modulus of continuity.

 
         
     
         
         
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