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

Mirosław Baran, Agnieszka Kowalska · arXiv (Cornell University) · 2017

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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