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    STUDIA MATHEMATICA - Issue no. 4 / 2009  
         
  Article:   ON APPLICATIONS OF THE REPRODUCING KERNEL METHOD FOR CONSTRUCTION OF CUBATURE FORMULAS.

Authors:  EMIL A. DANCIU.
 
       
         
  Abstract:  In this paper we use the method of Reproducing Kernel and Gegenbauer polynomials for constructing cubature formulas on the unit ball Bd, and on the standard simplex. Also we study the relation between interpolation polynomials based on the zeros of quasi-orthogonal Chebyshev polynomials and the nodes of near minimal degree cubature formulas.

Key words and phrases. Reproducing Kernel, cubature formulas, Gegenbauer polynomials on simplex, on ball.
 
         
     
         
         
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