Results 11 to 20 of about 45,837 (216)
Chebyshev’s inequality for Banach-space-valued random elements [PDF]
Statistics & Probability Letters, 2012 9 ...
Zhou, Ling, Hu, Ze-Chun
openaire +4 more sources
A hybrid method for solving time fractional advection–diffusion equation on unbounded space domain
Advances in Difference Equations, 2020 In this article, a hybrid method is developed for solving the time fractional advection–diffusion equation on an unbounded space domain. More precisely, the Chebyshev cardinal functions are used to approximate the solution of the problem over a bounded ...
H. Azin, F. Mohammadi, M. H. Heydari
doaj +1 more source
Lines on the surface in the quasi-hiperbolic space 11^S1/3
Дифференциальная геометрия многообразий фигур, 2020 Quasi-hyperbolic spaces are projective spaces with decaying absolute. This work is a continuation of the author's work [7], in which surfaces in one of these spaces are examined by methods of external forms and a moving frame.
V.B. Tsyrenova
doaj +1 more source
Blossoming beyond Extended Chebyshev Spaces
Journal of Approximation Theory, 2001 Let \({\mathcal A}\) denote an \(n\)-dimensional real affine space and \(I\) a real interval. Consider a function \(\Phi:I\to{\mathcal A}\). The osculating flat of order \(l\) of \(\Phi\) at \(x\in I\) (at which \(\Phi\) is \(l\) times differentiable) is \[ \text{Osc}_l \Phi(x):=\bigl\{\Phi (x)+\lambda_1 \Phi'(x)+ \cdots+\lambda_l \Phi^{( l)}\mid ...
Goodman, Tim, Mazure, Marie-Laurence
openaire +1 more source
Limit theorems for linear eigenvalue statistics of overlapping matrices [PDF]
, 2015 The paper proves several limit theorems for linear eigenvalue statistics of overlapping Wigner and sample covariance matrices. It is shown that the covariance of the limiting multivariate Gaussian distribution is diagonalized by choosing the Chebyshev ...
Kargin, Vladislav
core +1 more source
Interpolation by Weak Chebyshev Spaces
Journal of Approximation Theory, 2000 Let \(K\) be a totally ordered set; \( F(K) \) be the space of real functions defined on \( K \) and let \(U\) be an \(n\)-dimensional subspace of \( F(K). \) The subset \( T=\{t_1,\dots{},t_n\}\subseteq K \) is called an interpolation set with respect to \(U\) if for any \( \{y_1,\dots{},y_n\}\subseteq\mathbb R, \) there exists a unique function \( u ...
Davydov, Oleg, Sommer, Manfred
openaire +3 more sources
Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
IET Networks, EarlyView., 2022 Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
wiley +1 more source
Chebyshev Inequality in Function Spaces
Real Analysis Exchange, 1991 This paper gives new variants, generalizations and abstractions of the well-known Chebyshev inequality for monotonic functions. For example, the following result was proved by reviewer's method: Let \(K\) be a positive continuous function on \(I^ 2\;(I=[0,a],a>0)\) and suppose \(f:I^ 2\to[0,\infty)\) is a continuous positive set function. a) If for all
Heinig, Hans P., Maligranda, Lech
openaire +4 more sources
Aerospace, 2022 In this paper, a linear Chebyshev pseudospectral method (LCPM) is proposed to solve the nonlinear optimal control problems (OCPs) with hard terminal constraints and unspecified final time, which uses Chebyshev collocation scheme and quasi-linearization ...
Yang Li, Wanchun Chen, Liang Yang
doaj +1 more source
Journal of Approximation Theory, 2009 In this nice, short note, the authors show that \[ span\{1,x,x^2,\dots,x^{m-1}, \frac {T_m(x)}{\sqrt{(1-x^2}}\}, span\{1,x,x^2,\dots,x^{m-1}, \frac {T_m(x)arccos x}{\sqrt{(1-x^2}}\} \] are extended Chebyshev spaces over \((-1,1)\), where \(m>0\) and \(T_m(x)\) is the \(m\)th degree Chebyshev polynomial of the first kind.
Cahlon, Baruch, Schmidt, Darrell
openaire +1 more source