Title of article
Optimal-by-accuracy and optimal-by-order cubature formulae in interpolational classes
Author/Authors
Melnik، نويسنده , , K.N. and Melnik، نويسنده , , R.V.N. Melnik، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2002
Pages
30
From page
233
To page
262
Abstract
In this paper the problem of optimal integration for fast oscillatory functions of two variables is solved constructively in the case where a priori information is limited. The connection of this problem with the problem of optimal recovery of a function from interpolational classes is analysed using properties of majorants and minorants for these functional classes.
Keywords
Optimal-by-order cubature formulae , Interpolational classes , Chebyshev centre , Fast oscillatory functions
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2002
Journal title
Journal of Computational and Applied Mathematics
Record number
1551903
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