CUBATURE FORMULAS FOR CLASSES OF FUNCTIONS WITH BOUNDED MIXED DIFFERENCE

CUBATURE FORMULAS FOR CLASSES OF FUNCTIONS WITH BOUNDED MIXED DIFFERENCE
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有界混差函数类的立方公式

DOI:
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发表时间:
1993
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通讯作者:
V. Dubinin
V. Dubinin
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文献类型:
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作者:
V. Dubinin

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对于具有有限的混合差异的功能类别,考虑了立方式公式。找到正确的顺序,即最佳立方体公式的误差,该公式在特定点使用函数的值。事实证明,对于上述类别的类,借助数理论方法构建的立方式公式是最佳的(从秩序意义上讲)。BIBLIOGRAPHY:9个标题。
Cubature formulas are considered for classes of functions with bounded mixed difference. The correct order is found for the error of optimal cubature formulas that use the values of the functions at particular points. It turns out that, for the classes indicated above, cubature formulas constructed with the help of number-theoretic methods are optimal (in the sense of order).Bibliography: 9 titles.