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    STUDIA MATHEMATICA - Issue no. 2 / 2006  
         
  Article:   A NONSMOOTH EXTENSION FOR THE BERNSTEIN-STANCU OPERATORS AND AN APPLICATION.

Authors:  CRISTINEL MORTICI, INGRID OANCEA.
 
       
         
  Abstract:  D.D. Stancu defined in [8] a class of approximation operators which are more general than the well-known Bernstein operators. We define here a new type of approximation operators which extend the Bernstein-Stancu operators. These new operators have the advantage that the points where the given function f : [0, 1] -> R is calculated can be independently chosen in each interval of the equidistant division of the interval [0, 1] . Moreover, all possible such choices of intermediary points cover the whole interval [0, 1] . Finally, we consider a particular case as an application.  
         
     
         
         
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