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    STUDIA MATHEMATICA - Issue no. 3 / 2013  
         
  Article:   ON A GENERALIZATION OF SZÁSZ OPERATORS BY MULTIPLE APPELL POLYNOMIALS.

Authors:  .
 
       
         
  Abstract:   In this paper, we define a form of positive linear operators by means of multiple Appell polynomials. Also, Kantorovich type generalization and simultaneous approximation of these operators are given. Convergence properties of our operators are verified with the help of the universal Korovkin-type property and the order of approximation is calculated by using classical modulus of continuity.

Mathematics Subject Classification (2010): 41A25, 41A36.
Keywords: Szász operator, modulus of continuity, rate of convergence, multiple Appell polynomials.
 
         
     
         
         
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