Best exponents in Markov's inequalities
Date
2014
Authors
Goncharov, A.
Editor(s)
Advisor
Supervisor
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Co-Supervisor
Instructor
Source Title
Mathematical Inequalities and Applications
Print ISSN
1331-4343
Electronic ISSN
Publisher
Element d.o.o.
Volume
17
Issue
4
Pages
1515 - 1527
Language
English
Type
Journal Title
Journal ISSN
Volume Title
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Abstract
By means of weakly equilibrium Cantor-type sets, solutions of two problems related to polynomial inequalities are presented: the problem by M. Baran et al. about a compact set K ⊂ double-struck C such that the Markov inequality is not valid on K with the best Markov's exponent, and the problem by L. Frerick et al. concerning compact sets satisfying the local form of Markov's inequality with a given exponent, but not satisfying the global version of Markov's inequality with the same parameter. © ELEMENT.