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

数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (1): 72-80.

OPTIMAL QUADRATURE OF THE SOBOLEV CLASS W₁^r(R) DEFINED ON WHOLE REAL AXIS

房艮孙, 刘永平

Dept. of Math., Beijing Normal Univ, Beijing 100875, China

收稿日期:1993-10-16 修回日期:1994-05-20 出版日期:1996-03-25 发布日期:1996-03-25
基金资助:
Supported by National Natural Science Foundation of China.

OPTIMAL QUADRATURE OF THE SOBOLEV CLASS W₁^r(R) DEFINED ON WHOLE REAL AXIS

Fang Gensun, Liu Yongping

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.

摘要/Abstract

摘要： In this paper,we study the optimal quadrature problem with Hermite-Birkhoff type,on the Sobolev class W₁^r(R) defined on whole red axis,and we give an optimal algorithm and determite its optimal error.

关键词: quadrature formula, optimal algorithm, optimal error

Abstract: In this paper,we study the optimal quadrature problem with Hermite-Birkhoff type,on the Sobolev class W₁^r(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

房艮孙, 刘永平. OPTIMAL QUADRATURE OF THE SOBOLEV CLASS W₁^r(R) DEFINED ON WHOLE REAL AXIS[J]. 数学物理学报(英文版), 1996, 16(1): 72-80.

Fang Gensun, Liu Yongping. OPTIMAL QUADRATURE OF THE SOBOLEV CLASS W₁^r(R) DEFINED ON WHOLE REAL AXIS[J]. Acta mathematica scientia,Series B, 1996, 16(1): 72-80.

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OPTIMAL QUADRATURE OF THE SOBOLEV CLASS W₁^r(R) DEFINED ON WHOLE REAL AXIS

OPTIMAL QUADRATURE OF THE SOBOLEV CLASS W₁^r(R) DEFINED ON WHOLE REAL AXIS

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