Results 201 to 210 of about 466,548 (211)

An Inequality of the Markov–Bernstein Type for Polynomials

SIAM Journal on Mathematical Analysis, 1983
Let $ - \infty \leq a < b \leq \infty $ and denote by $w:(a,b) \to \mathbb{R}$ a positive and integrable function, with all moments \[ \int_a^b {t^n } w(t)dt\] finite. For any polynomial f with complex coefficients, we write \[ \| f \| = \left\{ {\int_a^b {| {f(t)} |^2 w(t)dt} } \right\}^{{1 / 2}} .\] Then there exists a constant $\gamma _n ...
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A Generalization of Chebyshev--Markov Type Inequality

Theory of Probability & Its Applications
Получены новые обобщения неравенств типа Чебышeва-Маркова. Применение этих неравенств к некоторым классам симметричных и асимметричных распределений показывает, что они являются более точными, чем неравенство Чебышeва.
Zhu, L., Wu, F., Zhao, Y. L., Yang, Y. X., Zhong, W. X.   +4 more
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Markov's and Bernstein's Inequalities on Disjoint Intervals

Canadian Journal of Mathematics, 1981
In 1889, A. A. Markov proved the following inequality:INEQUALITY 1. (Markov [4]). If pn is any algebraic polynomial of degree at most n thenwhere ‖ ‖A denotes the supremum norm on A.In 1912, S. N. Bernstein establishedINEQUALITY 2. (Bernstein [2]). If pn is any algebraic polynomial of degree at most n thenfor x ∈ (a, b).In this paper we extend these ...
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Reverse Markov inequality

2002
\textit{P. Turán } showed in [Compositio math., Groningen, 7, 89--95 (1939; JFM 65.0324.01)] that for the interval \(I=[-1,1]\) and polynomials \(p\) with all their zeros in \(I\), the reverse Markov inequality in the following from: \(\| p'\| _I\geq {1\over 6}(\text{deg }p)^{1\over 2}\| p\| _x\).
Levenberg, Norman, Poletsky, Evgeny A.
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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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Polynomial inequalities and Markov's inequality in weightedL p -spaces

Acta Mathematica Academiae Scientiarum Hungaricae, 1979
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Markov inequalities for polynomials on triangles

Mathematical Notes of the Academy of Sciences of the USSR, 1989
D. Nadzhmiddinov, Yu. N. Subbotin
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An Inequality with Relevance to the Markov Group Problem

Journal of the London Mathematical Society, 1975
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Markov-Bernstein Inequalities in L ∞

2018
Eli Levin, Doron S. Lubinsky
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