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    STUDIA MATHEMATICA - Issue no. 4 / 2009  
         
  Article:   ON THE USE OF ABEL-JENSEN TYPE COMBINATORIAL FORMULAS FOR CONSTRUCTION AND INVESTIGATION OF SOME ALGEBRAIC POLYNOMIAL OPERATORS OF APPROXIMATION.

Authors:  DIMITRIE D. STANCU, ELENA IULIA STOICA.
 
       
         
  Abstract:  The aim of this paper is to present some Abel-Jensen type combinatorial formulas useful for construction and investigation of some algebraic polynomial linear positive operators of approximation of univariate functions from the space C[0, 1]. In the first part of the paper we present the Abel generalization (1.1) of the classical binomial formula. Then we mention the two Abel type formulas (1.2) and (1.3), as well as the Vandermonde-Jensen formula (1.5).

Key words and phrases. combinatorial formulas of Abel-Jensen type.
 
         
     
         
         
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