Some remarks on cubature formulas with linear operators (Q296549)
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scientific article; zbMATH DE number 6597352
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some remarks on cubature formulas with linear operators |
scientific article; zbMATH DE number 6597352 |
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Some remarks on cubature formulas with linear operators (English)
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23 June 2016
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In this paper, the authors define operator-type cubature formulas as a generalization of Laplacian-type cubature formulas and classical polynomial-type cubature formulas, and study a Stroud-type inequality for operator-type cubature. Moreover, a generalization of well-known Sobolev's theorem on invariant polynomial-type cubature to operator-type cubature is given.
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cubature formula
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Stroud-type inequality
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Fisher-type inequality
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operator-type cubature
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Sobolev's theorem
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Sylvester's law of inertia
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0.87719953
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