Results 81 to 90 of about 18,205 (197)

Chebyshev centers that are not farthest points

open access: yes, 2016
In this paper we address the question whether in a given Banach space, a Chebyshev center of a nonempty bounded subset can be a farthest point of the set. Our exploration reveals that the answer depends on the convexity properties of the Banach space. We
Kadets, Vladimir   +3 more
core  

Adaptive control for memristive system via compensatory controller and Chebyshev neural network

open access: yesScientific Reports
In this paper, based on linear matrix inequality technique, a simple controller and a compensatory controller are designed. It can track arbitrary fixed points and any periodic orbits.
Shaofu Wang
doaj   +1 more source

Existence of Random Attractor for Stochastic Fractional Long-Short Wave Equations with Periodic Boundary Condition

open access: yesDiscrete Dynamics in Nature and Society, 2017
We consider the asymptotic behaviors of stochastic fractional long-short equations driven by a random force. Under a priori estimates in the sense of expectation, using Galerkin approximation by the stopping time and the Borel-Cantelli lemma, we prove ...
Na Liu, Jie Xin
doaj   +1 more source

Grüss-Type Bounds for the Covariance of Transformed Random Variables

open access: yesJournal of Inequalities and Applications, 2010
A number of problems in Economics, Finance, Information Theory, Insurance, and generally in decision making under uncertainty rely on estimates of the covariance between (transformed) random variables, which can, for example, be losses, risks, incomes ...
Martín Egozcue   +3 more
doaj   +2 more sources

Chebyshev-type inequalities via a new generalized fractional integral operator

open access: yesMathematics Open
The new generalized fractional integral operator presented in this paper unifies and generalizes several existing fractional calculus operators. By applying this operator, we provide a significant extension of the classical results to the fractional ...
Belete Debalkie, D. L. Suthar
doaj   +1 more source

On applications of Caputo k-fractional derivatives

open access: yesAdvances in Difference Equations, 2019
This research explores Caputo k-fractional integral inequalities for functions whose nth order derivatives are absolutely continuous and possess Grüss type variable bounds. Using Chebyshev inequality (Waheed et al. in IEEE Access 7:32137–32145, 2019) for
Ghulam Farid   +5 more
doaj   +1 more source

Generalized Jensen and Jensen–Mercer inequalities for strongly convex functions with applications

open access: yesJournal of Inequalities and Applications
Strongly convex functions as a subclass of convex functions, still equipped with stronger properties, are employed through several generalizations and improvements of the Jensen inequality and the Jensen–Mercer inequality.
Slavica Ivelić Bradanović   +1 more
doaj   +1 more source

On Chebyshev's inequality for sequences

open access: yesDiscrete Mathematics, 1996
Various results in connection to the well-known Chebyshev's inequality are given. For example, the following result is valid: If the sequences \(a\) and \(b\) are star-shaped then, for \(n>1\), we have the inequality \[ \sum^n_{i= 1}a_i \sum^n_{i= 1}b_i\leq {9\over 10} n \sum^n_{i= 1} a_ib_i.
openaire   +2 more sources

Rocket landing guidance based on second-order Picard-Chebyshev-Newton type algorithm

open access: yesXibei Gongye Daxue Xuebao
This paper proposes a rocket substage vertical landing guidance method based on the second-order Picard-Chebyshev-Newton type algorithm. Firstly, the continuous-time dynamic equation is discretized based on the natural second-order Picard iteration ...
TANG Jingyuan   +3 more
doaj   +1 more source

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