Best Approximate Integration Formulas and Best Error Bounds

1965 ◽  
Vol 19 (89) ◽  
pp. 79 ◽  
Author(s):  
Don Secrest
Keyword(s):  
Error Bounds ◽  
Integration Formulas ◽  
Approximate Integration

scholarly journals TOP EVALUATION FOR THE RA TION FOR THE RATE OF FUNC TE OF FUNCTIONAL OF ERROR AL OF ERROR WEIGHT CUBATURE FORMUL TURE FORMULA IN SP A IN SPACE

2019 ◽  
Vol 3 (4) ◽  
pp. 32-37
Author(s):  
Ozodjon Isomidinovich Jalolov ◽  
◽  
Khurshidzhon Usmanovich Khayatov
Keyword(s):  
Sobolev Space ◽  
Upper Bound ◽  
Cubature Formula ◽  
Integration Formulas ◽  
Error Functional ◽  
The Error Functional ◽  
Error Weight ◽  
Norm Of The Error ◽  
Approximate Integration

An upper bound is obtained for the norm of the error functional of the weight cubature formula in the Sobolev space . The modern formulation of the problem of optimization of approximate integration formulas is to minimize the norm of the error functional of the formula on the selected normalized spaces. In these works, the problem of optimality with respect to some definite space is investigated. Most of the problems are considered in the Sobolev space

Best Approximate Integration Formulas

1950 ◽  
Vol 29 (1-4) ◽  
pp. 118-123 ◽  
Author(s):  
Leroy F. Meyers ◽  
Arthur Sard
Keyword(s):  
Integration Formulas ◽  
Approximate Integration
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