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arXiv · 2212.12480

A Note on Sharp Multivariate Bernstein- and Markov-Type Inequalities

Michael I. Ganzburg
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Abstract

Let $V$ be a symmetric convex body in $\R^m$. We prove sharp Bernstein-type inequalities for entire functions of exponential type with the spectrum in $V$ and discuss certain properties of the extremal functions. Markov-type inequalities with sharp constants for algebraic polynomials on $V$ and certain non-symmetric convex bodies are proved as well.

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Michael I. Ganzburg. 2022-12-23. A Note on Sharp Multivariate Bernstein- and Markov-Type Inequalities. https://arxiv.org/abs/2212.12480

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