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    STUDIA MATHEMATICA - Issue no. 3 / 2019  
         
  Article:   STRONG INEQUALITIES FOR THE ITERATED BOOLEAN SUMS OF BERNSTEIN OPERATORS.

Authors:  LI CHENG, XINLONG ZHOU.
 
       
         
  Abstract:  
In this paper we investigate the approximation properties for the iterated
Boolean sums of Bernstein operators. The approximation behaviour of
those operators is presented by the so-called strong inequalities. Moreover, such strong inequalities are valid for any individual continuous function on [0; 1]. The obtained estimate covers global direct, inverse and saturation results.
Mathematics Subject Classification (2010): 41A05, 41A25, 41A40.
Keywords: Approximation rate, Bernstein operator, Boolean sum, strong inequality.
 
         
     
         
         
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