Results 21 to 30 of about 336 (171)

A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials

open access: yesAbstract and Applied Analysis, 2012
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

open access: yesMathematika, Volume 72, Issue 2, April 2026.
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

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4184-4197, 30 March 2026.
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

open access: yesJournal of Numerical Analysis and Approximation Theory, 2015
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

A Proposal of Smooth Interpolation to Optimal Transport for Restoring Biased Data for Algorithmic Fairness

open access: yesApplied Stochastic Models in Business and Industry, Volume 42, Issue 2, March/April 2026.
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

Wallas's Four Creativity Stages, Campbell's Two‐Stage BVSR, and the Three‐Criterion Definition of Creativity

open access: yesThe Journal of Creative Behavior, Volume 60, Issue 1, March 2026.
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]

open access: yesStudia Mathematica, 2012
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

A Physically Consistent Particle Size Distribution Modeling of the Microphysics of Precipitation for Weather and Climate Models

open access: yesGeophysical Research Letters, Volume 53, Issue 4, 28 February 2026.
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

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2022
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

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 2, February 2026.
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

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