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    STUDIA MATHEMATICA - Issue no. 2 / 2011  
         
  Article:   UNIFORM APPROXIMATION IN WEIGHTED SPACES USING SOME POSITIVE LINEAR OPERATORS.

Authors:  .
 
       
         
  Abstract:  

We characterize the functions defined on a weighted space, which are uniformly approximated by the Post-Widder, Gamma, Weierstrass and Picard operators and we obtain the range of the weights which can be used for uniform approximation. We give, also, an estimation of the rate of the approximation in terms of the usual modulus of continuity. Some well-known results are obtained, as limit cases.

Mathematics Subject Classification (2010): 41A36, 41A25.

Keywords: Positive linear operator, rate of approximation, weighted spaces, modulus of continuity.

 
         
     
         
         
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