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    STUDIA MATHEMATICA - Issue no. 2 / 2021  
         
  Article:   SHARP INEQUALITIES FOR THE RATES OF CONVERGENCE OF THE ITERATES OF SOME OPERATORS WHICH PRESERVE THE CONSTANTS.

Authors:  MARIUS MIHAI BIROU.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2021.2.05

Published Online: 2021-06-15
Published Print: 2021-06-30
pp. 289-295

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In this paper we give estimates for the rates of convergence for the iterates of some positive linear operators which preserve only the constants. We obtain sharp inequalities when we use both continuous functions and differentiable functions. We present some optimal results for the Cesaro, Stancu and Schurer operators.

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

Keywords: Positive linear operators, iterates, convergence, sharp inequalities.
 
         
     
         
         
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