Generalized Nikolskii's property and asymptotic exponent in Markov's inequality

Miroslaw Baran; Agnieszka Kowalska

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arXiv · 1706.07175

Generalized Nikolskii's property and asymptotic exponent in Markov's inequality

Miroslaw Baran·Agnieszka Kowalska

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Abstract

We introduce an asymptotic Markov's exponent and show that it is equal to Markov's exponent for a wide class of norms. As a consequence we obtain a lower bound for the optimal exponent in Markov's inequality considered with the norms possessing Nikolskii type property.

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Miroslaw Baran, Agnieszka Kowalska. 2017-06-22. Generalized Nikolskii's property and asymptotic exponent in Markov's inequality. https://arxiv.org/abs/1706.07175

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