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    STUDIA MATHEMATICA - Issue no. 4 / 2007  
         
  Article:   SOME PROBLEMS ON OPTIMAL QUADRATURE.

Authors:  PETRU BLAGA, GHEORGHE COMAN. 		 
       
         
  Abstract:  Using the connection between optimal approximation of linear operators and spline interpolation established by I. J. Schoenberg [35], the ''-function method of D. V. Ionescu [17], and a more general method given by A. Ghizzetti and A. Ossicini [14], the one-to-one correspondence between the monosplines and quadrature formulas given by I. J. Schoenberg [36, 37], and the minimal norm property of orthogonal polynomials, the authors study optimal quadrature formulas in the sense of Sard [33] and in the sense of Nikolski [27], respectively, with respect to the error criterion. Many examples are given.  
         
     
         
         
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