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. 1 / 2010  
         
  Article:   STATISTICAL APPROXIMATION BY DOUBLE PICARD SINGULAR INTEGRAL OPERATORS.

Authors:  GEORGE A. ANASTASSIOU, OKTAY DUMAN.
 
       
         
  Abstract:  We first construct a sequence of double smooth Picard singular integral operators which do not have to be positive in general. After giving some useful estimates, we mainly show that it is possible to approximate a function by these operators in statistical sense even though they do not obey the positivity condition of the statistical Korovkin theory.

Key words and phrases. A-statistical convergence, statistical approximation, Picard singular integral operators.
 
         
     
         
         
      Back to previous page