Results 11 to 20 of about 466,548 (211)
Randomized and Exchangeable Improvements of Markov's, Chebyshev's and Chernoff's Inequalities [PDF]
, 2023 We present simple randomized and exchangeable improvements of Markov's inequality, as well as Chebyshev's inequality and Chernoff bounds. Our variants are never worse and typically strictly more powerful than the original inequalities.
Ramdas, Aaditya, Manole, Tudor
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CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract When deploying mobile robots in real‐world scenarios, such as airports, train stations, hospitals, and schools, collisions with pedestrians are intolerable and catastrophic. Motion safety becomes one of the most fundamental requirements for mobile robots.
Zhiqian Zhou +7 more
wiley +1 more source
Best exponents in Markov's inequalities [PDF]
, 2014 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
Alexander Goncharov, Goncharov, A.
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Optimal factors in Vladimir Markov's inequality in L2 norm [PDF]
, 2018 In this paper we discuss a problem of computation of constants in Vladimir Markov's type inequality in L2 norm on the interval [-1, 1]
Baran, M., Ozorka, P., Kowalska, A.
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Markov's weak inequality for algebraic polynomials on a closed interval [PDF]
, 2019 For a real algebraic polynomial Pn of degree n, we consider the ratio Mn(Pn) of the measure of the set of points from [-1, 1] where the absolute value of the derivative exceeds n2 to the measure of the set of points where the absolute value of the ...
Pauchenko, N. S.
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On grid diagrams, braids and Markov moves [PDF]
, 2010 Includes abstract.Includes bibliographical references (leaves 42).Grid diagrams are essential in the new combinatorial version [MOST07] of the Heegaard Floer knot homology, and proving that these homologies are actually knot and link invariants depends ...
Ayivor, Audry F
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Markov's inequality and the existence of an extension operator for C∞ functions [PDF]
, 1990 It is shown that if E is a C∞ determining compact set in Rn, then Markov's inequality for derivatives of polynomials holds on E iff there exists a continuous linear extension operator L:C∞(E)→C∞(Rn).
Pleśniak, W
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Markov's theorem in 3-manifolds [PDF]
, 1997 In this paper we first give a one-move version of Markov's braid theorem for knot isotopy in S3 that sharpens the classical theorem. Then we give a relative version of Markov's theorem concerning a fixed braided portion in the knot.
Colin Rourke +3 more
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Markov Inequalities for Polynomials with Restricted Coefficients
Journal of Inequalities and Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin Shaobo, Cao Feilong
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A proof of Markov's theorem for polynomials on Banach spaces [PDF]
, 2010 Our object is to present an independent proof of the extension of V.A. Markov's theorem to Gâteaux derivatives of arbitrary order for continuous polynomials on any real normed linear space.
Harris, Lawrence A.
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