Results 191 to 200 of about 466,548 (211)

A Markov inequality in several dimensions

Journal of Approximation Theory, 1974
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Pinwheels in symplectic rational and ruled surfaces and non‐squeezing of rational homology balls

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We use almost toric fibrations and the symplectic rational blow‐up to determine when certain Lagrangian pinwheels, which we call liminal, embed in symplectic rational and ruled surfaces. The case of L2,1$L_{2,1}$‐pinwheels, namely Lagrangian RP2s$\mathbb {R}P^2{\rm s}$, answers a question of Kronheimer in the negative, exhibiting a symplectic ...
Nikolas Adaloglou, Johannes Hauber
wiley   +1 more source

Markov's inequality in the complex plane

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A Markov–Dobrushin Inequality for Quantum Channels

Open Systems & Information Dynamics, 2021
We propose a quantum extension of the Markov-Dobrushin inequality. As an application, we estimate the Markov-Dobrushin constant for some classes of quantum Markov channels, in particular for the Pauli channel, widely studied in quantum information theory.
Luigi Accardi, Yun-Gang Lu, Abdessatar Souissi   +2 more
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A generalization of Markov's inequality

Statistics & Probability Letters, 2001
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Eisenberg, Bennett, Ghosh, B. K.
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New Inequalities of Markov Type

SIAM Journal on Mathematical Analysis, 1987
For any polynomial f with complex coefficients we define \(\| f\|:=\{\int^{b}_{a}| f(t)|^ 2w(t)dt\}^{1/2},\) where w: (a,b)\(\to R\) is a positive and integrable function with all moments finite. It is well known that there exists a constant \(\gamma_ n\), not depending on f, such that \(\| f'\| \leq \gamma_ n\| f\|\) for all f, deg \(f\leq n\).
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Tangential Markov Inequalities on Transcendental Curves

Constructive Approximation, 2003
Let \(M\) be a smooth manifold in \(\mathbb R^d\). We say that \(M\) admits a tangential Markov inequality of exponent \(\ell\) if there is a constant \(C> 0\) such that, for all polynomials \(P\in \mathbb R[x_1,\dots, x_d]\) and points \(a\in M\), \(| D_T P(a)|\leq C(\deg P)^\ell\| P\|_M\). Here \(D_TP\) denotes any (unit) tangential derivative of \(P\
BOS, LEONARD PETER, Brudnyi A., Levenberg N., Totik V.   +3 more
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Probability Inequalities Related to Markov's Theorem

The American Statistician, 2002
A recurrent theme of interest in probability and statistics is to determine the best bounds for two probabilities, Pr(X ≥ r) and Pr(s < X - μ < t), when only the mean μ and the standard deviation σ of a random variable X are known. This article addresses the issue under two circumstances, when X is arbitrary and when X is nonnegative.
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Analogs of Markov's Inequality in Normed Spaces

Mathematical Notes, 2004
The Markov inequality states \[ | P^{(k)}_n(x)| \leq c_{n,k}\| P_n\| _{C([-1,1])}\quad \text{ for } -1\leq x \leq 1, 0\leq k \leq n \] for all polynomials \(P_n(x)\) of degree at most \(n\) in one real variable \(x\). The best constants \(c_{n,k}\) are explicitly known and they are attained for the Chebyshev polynomials \(T_n(x)=\cos(n\cdot \arccos x)\)
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A V. A. Markov type inequality in Lp

Journal of Soviet Mathematics, 1983
It is proved that for any algebraic polynomial P of degree at most n we have for 1 p ≤ + t8, x ≥ 1 the inequality For p ≥1 and x ≥ 1 we construct a polynomial P* of degree n for ...
Podkorytov, A. N., Dyn'kin, E. M.
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