若干代数变种上的Kolmogorov和Markov型不等式

Pub Date : 2023-09-06 DOI:10.1007/s10476-023-0224-4

T. Beberok

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引用次数: 0

摘要

在多项式的导数上，我们引入了经典马尔可夫不等式的某些代数变种的紧致子集的一个推广。我们还引入了经典马尔可夫不等式的局部形式的这类集合的一个扩展，并证明了引入的马尔可夫不等式和局部马尔可夫不等式的等价性。

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Kolmogorov and Markov Type Inequalities on Certain Algebraic Varieties

In this paper we introduce a generalization to compact subsets of certain algebraic varieties of the classical Markov inequality on the derivatives of a polynomial in terms of its own values. We also introduce an extension to such sets of a local form of the classical Markov inequality, and show the equivalence of introduced Markov and local Markov inequalities.

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