Optimal quadrature formulas with positive coefficients in L2(m)(0,1) space

  • Authors:
  • Kh. M. Shadimetov;A. R. Hayotov

  • Affiliations:
  • -;-

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2011

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Abstract

In the Sobolev space L"2^(^m^)(0,1) optimal quadrature formulas of the form @!"0^1@f(x)dx@?@?"@b"="0^NC"@b@f(x"@b) with the nodes x"i=@h"ih,x"N"-"i=1-@h"ih,i=0,t-1@?,0@?@h"0