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Average optimization of the approximate solution of operator equations and its application 被引量:1

Average optimization of the approximate solution of operator equations and its application
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摘要 In this paper, a definition of the optimization of operator equations in the average case setting is given. And the general result (Theorem 1) about the relevant optimization problem is obtained. This result is applied to the optimization of approximate solution of some classes of integral equations. In this paper, a definition of the optimization of operator equations in the average case setting is given. And the general result (Theorem 1) about the relevant optimization problem is obtained. This result is applied to the optimization of approximate solution of some classes of integral equations
作者 王兴华 马万
出处 《Science China Mathematics》 SCIE 2002年第8期1076-1079,共4页 中国科学:数学(英文版)
基金 This work was supported by the Special Funds for Major State Basic Research Projects (Grant No. G19990328) the Zhejiang Provincial Natural Science Foundation (Grant No. 100002).
关键词 GAUSSIAN measure INTEGRAL n-width optimization operator equations. Gaussian measure integral n-width optimization operator equations
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  • 1Maiorov,V. E.Widths of Banach spaces with Gaussian measures, Dokl.Akad. Nauk[].USSR.1992

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