Acta mathematica scientia,Series B ›› 1996, Vol. 16 ›› Issue (1): 72-80.

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OPTIMAL QUADRATURE OF THE SOBOLEV CLASS W1r(R) DEFINED ON WHOLE REAL AXIS

Fang Gensun, Liu Yongping   

  1. Dept. of Math., Beijing Normal Univ, Beijing 100875, China
  • Received:1993-10-16 Revised:1994-05-20 Online:1996-03-25 Published:1996-03-25
  • Supported by:
    Supported by National Natural Science Foundation of China.

Abstract: In this paper,we study the optimal quadrature problem with Hermite-Birkhoff type,on the Sobolev class W1r(R) defined on whole red axis,and we give an optimal algorithm and determite its optimal error.

Key words: quadrature formula, optimal algorithm, optimal error

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