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Markov-Bernstein and Nikolskii Inequalities

2001
In this chapter, we shall prove Markov-Bernstein inequalities and Nikolskii inequalities. We begin with the former. We shall make substantial use of the function ϕ t defined by (9.18) and (9.19).
Eli Levin, Doron S. Lubinsky
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Markov-Bernstein type inequalities for polynomials

1999
The authors derive Markov-Bernstein type inequalities of a very general form. They show that such inequalities hold in weighted \(L^2\)-spaces not only for derivatives but also for any linear operator on \(P\), the space of polynomials with complex coefficients, when the measure is a positive Borel measure.
K. H. KWON, D. W. LEE
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Concentration inequality for U-statistics of order two for uniformly ergodic Markov chains

Bernoulli, 2023
Yohann de Castro, Claire Lacour
exaly

A discrete weighted Markov–Bernstein inequality for sequences and polynomials

Journal of Mathematical Analysis and Applications, 2021
Geno Nikolov, Dimitar K Dimitrov
exaly

Hoeffding’s inequality for Markov processes via solution of Poisson’s equation

Frontiers of Mathematics in China, 2021
Yuanyuan Liu
exaly

Polynomial inequalities and Markov's inequality in weightedL p -spaces

Acta Mathematica Academiae Scientiarum Hungaricae, 1979
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Hoeffding's inequality for uniformly ergodic Markov chains

Statistics and Probability Letters, 2002

exaly

Markov L2 inequality with the Gegenbauer weight

Journal of Approximation Theory, 2018
Geno Nikolov
exaly