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    STUDIA MATHEMATICA - Issue no. 4 / 2009  
         
  Article:   BERNSTEIN-TYPE OPERATORS ON TETRAHEDRONS.

Authors:  PETRU BLAGA, TEODORA CĂTINAŞ, GHEORGHE COMAN.
 
       
         
  Abstract:  The aim of the paper is to construct Bernstein-type operators on tetrahedron with all straight edges and on tetrahedron with three curved edges defined by some given functions. We study the interpolation properties, the approximation accuracy (degree of exactness, precision set) and the remainder of the corresponding approximation formulas. The accuracy is also illustrated by numerical examples.

Key words and phrases. Bernstein operator, product operator, Boolean sum operator, approximation accuracy, tetrahedron.
 
         
     
         
         
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