Results 11 to 20 of about 2,835 (222)

A Landau–Kolmogorov inequality for generators of families of bounded operators [PDF]

Journal of Mathematical Analysis and Applications, 2010
A Landau–Kolmogorov type inequality for generators of a wide class of strongly continuous families of bounded and linear operators defined on a Banach space is shown.
CARLOS Lizama, Pedro J Miana
exaly   +4 more sources

A Remark on the Kolmogorov–Stein Inequality

Journal of Mathematical Analysis and Applications, 1996
In this paper, essentially developing the Stein method, we prove the Kolmogorov–Stein inequality for any Orlicz norm (with the same constants)
Ha Huy Bang
exaly   +4 more sources

Equivalence of the Local Markov Inequality and a Kolmogorov Type Inequality in the Complex Plane [PDF]

Potential Analysis, 2012
We prove that a compact subset of the complex plane satisfies a local Markov inequality if and only if it satisfies a Kolmogorov type inequality. This result generalizes a theorem established by Bos and Milman in the real case.
Leokadia Białas-Cież, Białas-Cież, Leokadia, Eggink, Raimondo, Raimondo Eggink   +3 more
exaly   +6 more sources

A Harnack Inequality for Kolmogorov Equations

Journal of Mathematical Analysis and Applications, 1995
In this paper we establish a Hamack inequality for Kolmogorov equations. Our method is based on mean value formulas for solutions of the equation and estimates of the fundamental ...
Zhang, Q.
core   +3 more sources

On Extensions of an Inequality of Kolmogorov

Calcutta Statistical Association Bulletin, 1997
The inequality of Kolmogorov (Sankhya, 1963) has been extended to a sequence of independent sub-Gaussian and other random variables. All the earlier results in the literature on this problem concerned only on the very special case of Bernoulli variables.
Tapas K. Chandra, Subhashis Ghosal
core   +3 more sources

Inequalities for space-bounded Kolmogorov complexity

Computability, 2022
There is a parallelism between Shannon information theory and algorithmic information theory. In particular, the same linear inequalities are true for Shannon entropies of tuples of random variables and Kolmogorov complexities of tuples of strings ...
Shen, Alexander, Gács, Peter, Bauwens, Bruno, Romashchenko, Andrei   +3 more
core   +6 more sources

Inequalities for Shannon Entropy and Kolmogorov Complexity

Journal of Computer and System Sciences, 2000
It was mentioned by Kolmogorov (1968, IEEE Trans. Inform. Theory14, 662–664) that the properties of algorithmic complexity and Shannon entropy are similar. We investigate one aspect of this similarity.
Shen, Alexander, Hammer, Daniel, Vereshchagin, Nikolai, Romashchenko, Andrei   +3 more
core   +2 more sources

Extension of an Inequality on Three Intervals and Applications to Csiszár ϕ-Divergence and Landau–Kolmogorov Inequality

Axioms
In this paper, we generalize an inequality for a convex function in one dimension R1 on three intervals to a function with nondecreasing increments in k dimensions Rk on (2n+1) intervals.
Ðilda Pečarić, Josip Pečarić, Jinyan Miao   +2 more
doaj   +2 more sources

Linking the Weibull distribution to Gini coefficients: a bamboo specific framework for intra-culm leaf area inequality [PDF]

Frontiers in Plant Science
Quantifying inequality in the leaf area distribution within a single module is critical for elucidating plant resource allocation strategies, but the accuracy of theoretical Gini coefficients derived from statistical distributions remains poorly ...
Zhifei Jiao, Shuai Liu, Karl J. Niklas, Christian Frølund Damgaard, Weihao Yao, Meng Lian, Feixue Jiang, Peijian Shi   +7 more
doaj   +2 more sources

Disuguaglianze di Harnack alla frontiera per equazioni di Kolmogorov

Bruno Pini Mathematical Analysis Seminar, 2011
We describe some recent results on the boundary regularity for hypoelliptic Kolmogorov equations. We prove boundary Harnack inequalities of the positive solutions to Kolmogorov equations vanishing on some relatively open subset of the boundary ...
Sergio Polidoro
doaj   +3 more sources