The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary

The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name.

 
       
         
    STUDIA MATHEMATICA - Issue no. 3 / 2022  
         
  Article:   A STRONG CONVERSE INEQUALITY FOR THE ITERATED BOOLEAN SUMS OF THE BERNSTEIN OPERATOR.

Authors:  BORISLAV R. DRAGANOV.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2022.3.10

Published Online: 2022-09-20
Published Print: 2022-09-30
pp. 591-598

VIEW PDF


FULL PDF

We establish a two-term strong converse estimate of the rate of approximation by the iterated Boolean sums of the Bernstein operator. The characterization is stated in terms of appropriate moduli of smoothness or K-functionals.

Mathematics Subject Classification (2010) : 41A10, 41A17, 41A25, 41A27, 41A35, 41A40.
Keywords: Bernstein polynomials, Boolean sums, strong converse inequality, modulus of smoothness, K-functional.
 
         
     
         
         
      Back to previous page