Results 21 to 30 of about 336 (171)
A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials
We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtain convergence properties of these operators by using Korovkin's theorem.
Fatma Taşdelen +2 more
doaj +1 more source
Equidistribution of points in the harmonic ensemble for the Wasserstein distance
Abstract We study the asymptotics of the expected Wasserstein distance between the empirical measure of a point process and the background volume form. The main determinantal point process studied is the harmonic ensemble, where we get the optimal rate of convergence for homogeneous manifolds of dimension d⩾3$d\geqslant 3$, and for two‐point ...
Pablo García Arias
wiley +1 more source
Approximation of Discontinuous Functions by Positive Linear Operators. A Probabilistic Approach
ABSTRACT We obtain approximation results for general positive linear operators satisfying mild conditions, when acting on discontinuous functions and absolutely continuous functions having discontinuous derivatives. The upper bounds, given in terms of a local first modulus of continuity, are best possible, in the sense that we can construct particular ...
J.A. Adell +2 more
wiley +1 more source
A simplified proof of the Kantorovich theorem for solving equations using telescopic series
We extend the applicability of the Kantorovich theorem (KT) for solving nonlinear equations using Newton-Kantorovich method in a Banach space setting.
Ioannis K. Argyros, Hongmin Ren
doaj +2 more sources
ABSTRACT The so‐called algorithmic bias is a hot topic in the decision‐making process based on Artificial Intelligence, especially when demographics, such as gender, age or ethnic origin, come into play. Frequently, the problem is not only in the algorithm itself, but also in the biased data that feed the algorithm, which is just the reflection of the ...
Elena M. De‐Diego +2 more
wiley +1 more source
ABSTRACT The Wallas four‐stages and Campbell's two‐stage Blind‐Variation and Selective‐Retention (BVSR) represent two classic stage conceptions of creative thought. However, these two stage conceptions can be integrated by taking advantage of a quantitative definition of personal creativity, which is taken as the multiplicative product of originality ...
Dean Keith Simonton
wiley +1 more source
A general duality theorem for the Monge–Kantorovich transport problem [PDF]
The duality theory of the Monge--Kantorovich transport problem is analyzed in a general setting. The spaces $X, Y$ are assumed to be polish and equipped with Borel probability measures $μ$ and $ν$. The transport cost function $c:X\times Y \to [0,\infty]$ is assumed to be Borel.
Beiglböck, Mathias +2 more
openaire +3 more sources
Abstract The probability density function of drops is difficult to model. Current approaches make assumptions that are often problematic, as they allow negative values for the mean of the distribution. While the statistical goodness of fit of those models might be reasonable for precipitation radar estimation, the situation is unsatisfactory if a fully
Francisco J. Tapiador +9 more
wiley +1 more source
On Control of Probability Flows with Incomplete Information
The mean-field type control problems with incomplete information are considered. There are several points of view that can be adopted to study the dynamics in probability space.
D. V. Khlopin
doaj +1 more source
A Choquet theory of Lipschitz‐free spaces
Abstract Let (M,d)$(M,d)$ be a complete metric space and let F(M)$\mathcal {F}({M})$ denote the Lipschitz‐free space over M$M$. We develop a ‘Choquet theory of Lipschitz‐free spaces’ that draws from the classical Choquet theory and the De Leeuw representation of elements of F(M)$\mathcal {F}({M})$ (and its bi‐dual) by positive Radon measures on βM ...
Richard J. Smith
wiley +1 more source

