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Sharp \(L_p\) Markov type inequality for cuspidal domainsin \(\mathbb{R}^d\) - MaRDI portal

Sharp \(L_p\) Markov type inequality for cuspidal domainsin \(\mathbb{R}^d\) (Q2286229)

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Sharp \(L_p\) Markov type inequality for cuspidal domainsin \(\mathbb{R}^d\)
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    Sharp \(L_p\) Markov type inequality for cuspidal domainsin \(\mathbb{R}^d\) (English)
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    10 January 2020
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    In this short paper, optimal (sharp) upper bounds on derivatives, in the form of Markov-type inequalities, multi-dimensional and in \(L^p\), are given. The bounds apply to multivariable (algebraic) polynomials and to cuspidal domains.
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    multivariate polynomials
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    cuspidal sets
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    \(L^p\) norm
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    Markov inequality
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