Results 81 to 90 of about 18,163 (201)

Results of the Chebyshev type inequality for Pseudo-integral [PDF]

Sahand Communications in Mathematical Analysis, 2016
In this paper, some results of the Chebyshev type integral inequality for the pseudo-integral are proven. The obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions.
Bayaz Daraby
doaj  

How Accurate is Richardson's Error Estimate?

Concurrency and Computation: Practice and Experience, Volume 37, Issue 27-28, 25 December 2025.
ABSTRACT We consider the fundamental problem of estimating the difference between the exact value T$$ T $$ and approximations Ah$$ {A}_h $$ that depend on a single real parameter h$$ h $$. It is well‐known that if the error Eh=T−Ah$$ {E}_h=T-{A}_h $$ satisfies an asymptotic expansion, then we can use Richardson extrapolation to approximate Eh$$ {E}_h $$
Carl Christian Kjelgaard Mikkelsen, Lorién López‐Villellas   +1 more
wiley   +1 more source

A NORM INEQUALITY FOR CHEBYSHEV CENTRES [PDF]

Journal of Sciences, Islamic Republic of Iran, 1995
In this paper, we study the Chebyshev centres of bounded subsets of normed spaces and obtain a norm inequality for relative centres. In particular, we prove that if T is a remotal subset of an inner product space H, and F is a star-shaped set at a ...
doaj  

Random discrete probability measures based on a negative binomial process

Canadian Journal of Statistics, Volume 53, Issue 4, December 2025.
Abstract A distinctive functional of the Poisson point process is the negative binomial process for which the increments are not independent but are independent conditional on an underlying gamma variable. Using a new point process representation for the negative binomial process, we generalize the Poisson–Kingman distribution and its corresponding ...
Sadegh Chegini, Mahmoud Zarepour
wiley   +1 more source

New Upper Bounds for the Weighted Chebyshev Functional

Annales Mathematicae Silesianae
New upper bounds for the weighted Chebyshev functional under various conditions, including those of Steffensen type, are given. The obtained results are used to establish some new bounds for the Jensen functional.
Bakula Milica Klaričić, Pečarić Josip   +1 more
doaj   +1 more source

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

Scientific 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

Discrete 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

Some inequalities for Chebyshev polynomials

, 2020
11 ...
openaire   +2 more sources

On Chebyshev's inequality for sequences

Discrete 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

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

Journal 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, Neda Lovričević   +1 more
doaj   +1 more source