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. 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.
 
         
     
         
         
      Back to previous page