Inequalities of the Markov type for partial derivatives of polynomials in several variables (Q548790)
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scientific article; zbMATH DE number 5915497
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequalities of the Markov type for partial derivatives of polynomials in several variables |
scientific article; zbMATH DE number 5915497 |
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Inequalities of the Markov type for partial derivatives of polynomials in several variables (English)
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30 June 2011
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Markov-type inequalities for the \(L^\infty\) norm on multidimensional regions and manifolds have been extensively studied. The authors study problems dealing with best constants in multivariate Markov-type inequalities with the \(L^2\) norm and for partial derivatives of arbitrary order. The one dimensional versions of the results presented here have recently been proved by the authors [Linear Algebra Appl. 430, No.~4, 1057--1069 (2009; Zbl 1162.41004); Mat. Nach. 283, No.~1, 40--57 (2010; Zbl 1186.41004)].
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Markov-type inequality
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orthogonal polynomials
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Volterra integral operators
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polynomials of several variables
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