BRAKE ORBITS IN BOUNDED CONVEX SYMMETRIC DOMAINS

2010 ◽  
pp. 71-89
Author(s):  
Chungen Liu ◽  
Duanzhi Zhang
Keyword(s):  
Brake Orbits ◽  
Bounded Convex

Multiple Symmetric Brake Orbits in Bounded Convex Symmetric Domains

2006 ◽  
Vol 6 (4) ◽  
Author(s):  
Duanzhi Zhang
Keyword(s):  
Symmetric Domain ◽  
Brake Orbits ◽  
Bounded Convex

AbstractIn this paper, we prove that there exist at least two geometrically distinct symmetric brake orbits in every bounded convex symmetric domain in R

scholarly journals Multiple brake orbits in bounded convex symmetric domains

2006 ◽  
Vol 203 (2) ◽  
pp. 568-635 ◽  
Author(s):  
Yiming Long ◽  
Duanzhi Zhang ◽  
Chaofeng Zhu
Keyword(s):  
Brake Orbits ◽  
Bounded Convex

scholarly journals Some Hermite–Hadamard type integral inequalities for convex functions defined on convex bodies in ℝn\mathbb{R}^{n}

2020 ◽  
Vol 26 (1) ◽  
pp. 67-77 ◽  
Author(s):  
Silvestru Sever Dragomir
Keyword(s):  
Euclidean Space ◽  
Convex Functions ◽  
Convex Bodies ◽  
Integral Inequalities ◽  
Divergence Theorem ◽  
Several Variables ◽  
Type Integral ◽  
Bounded Convex

AbstractIn this paper, by the use of the divergence theorem, we establish some integral inequalities of Hermite–Hadamard type for convex functions of several variables defined on closed and bounded convex bodies in the Euclidean space {\mathbb{R}^{n}} for any {n\geq 2}.

scholarly journals Polyrun: A Java library for sampling from the bounded convex polytopes

SoftwareX ◽  
2021 ◽  
Vol 13 ◽  
pp. 100659
Author(s):  
Krzysztof Ciomek ◽  
Miłosz Kadziński
Keyword(s):  
Convex Polytopes ◽  
Bounded Convex ◽  
Java Library

Some remarks on probability inequalities for sums of bounded convex random variables

1975 ◽  
Vol 12 (1) ◽  
pp. 155-158 ◽  
Author(s):  
M. Goldstein
Keyword(s):  
Convex Function ◽  
Exponential Convergence ◽  
Random Variables ◽  
Upper Bounds ◽  
Independent Random Variables ◽  
Probability Inequalities ◽  
Continuous Convex Function ◽  
Bounded Convex

Let X1, X2, · ··, Xn be independent random variables such that ai ≦ Xi ≦ bi, i = 1,2,…n. A class of upper bounds on the probability P(S−ES ≧ nδ) is derived where S = Σf(Xi), δ > 0 and f is a continuous convex function. Conditions for the exponential convergence of the bounds are discussed.

scholarly journals About an Erdős–Grünbaum Conjecture Concerning Piercing of Non-bounded Convex Sets

2015 ◽  
Vol 53 (4) ◽  
pp. 941-950
Author(s):  
Amanda Montejano ◽  
Luis Montejano ◽  
Edgardo Roldán-Pensado ◽  
Pablo Soberón
Keyword(s):  
Convex Sets ◽  
Bounded Convex
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