Results 51 to 60 of about 7,376 (127)

Convergence rates for upwind schemes with rough coefficients

open access: yes, 2017
This paper is concerned with the numerical analysis of the explicit upwind finite volume scheme for numerically solving continuity equations. We are interested in the case where the advecting velocity field has spatial Sobolev regularity and initial data
Schlichting, André, Seis, Christian
core   +1 more source

Operator versions of the Kantorovich inequality [PDF]

open access: yesProceedings of the American Mathematical Society, 1996
The Operator Kantorovich Inequality \[ ( R 2 − r 2 ) u ∗ ( a ∗ a ) u ≤ R 2 ( u ∗
openaire   +1 more source

Approximation by ψ‐Baskakov‐Kantorovich Operators

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13552-13562, 30 September 2025.
ABSTRACT In this paper, we introduce a new family of Baskakov‐Kantorovich operators that depend on a function ψ$$ \psi $$. We compare these new ψ$$ \psi $$‐Baskakov‐Kantorovich operators with the classical Baskakov‐Kantorovich operators to evaluate their approximation results.
Hüseyin Aktuğlu   +2 more
wiley   +1 more source

A characterization of operator order via grand Furuta

open access: yesJournal of Inequalities and Applications, 2001
As an application of the grand Furuta inequality, we shall show a characterization of usual order associated with operator equation and a Kantorovich type order preserving operator inequality by using essentially the same idea of [9].
seo Yuki
doaj  

Extensions of inequalities involving Kantorovich constant [PDF]

open access: yesMathematical Inequalities & Applications, 2011
In this paper, two methods of extending inequalities involving Kantorovich constant are presented. An inequality of Micic et al. [Linear Algebra Appl., 318 (2000), 87–107] on positive linear maps and geometric mean of positive definite matrices is extended to arbitrary matrices having accretive transformation. A result of Dragomir [JIPAM 5 (3), Art.76,
openaire   +1 more source

Multivariate Neural Network Operators: Simultaneous Approximation and Voronovskaja‐Type Theorem

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10669-10677, 30 July 2025.
ABSTRACT In this paper, the simultaneous approximation and a Voronoskaja‐type theorem for the multivariate neural network operators of the Kantorovich type have been proved. In order to establish such results, a suitable multivariate Strang–Fix type condition has been assumed.
Marco Cantarini, Danilo Costarelli
wiley   +1 more source

Examining Entropic Unbalanced Optimal Transport and Sinkhorn Divergences for Spatial Forecast Verification

open access: yesMeteorological Applications, Volume 32, Issue 4, July/August 2025.
This exploratory study establishes the unbalanced Sinkhorn divergence as a robust spatial forecast verification metric for precipitation data. It has illustrative transport vectors which highlight regions where a feature is missing and is shown to align with expert assessments amongst other favourable characteristics with few limitations.
Jacob J. M. Francis   +2 more
wiley   +1 more source

Operator inequalities associated with Hölder–McCarthy and Kantorovich inequalities

open access: yesJournal of Inequalities and Applications, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Using decomposition of the nonlinear operator for solving non‐differentiable problems

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7987-8006, 15 May 2025.
Starting from the decomposition method for operators, we consider Newton‐like iterative processes for approximating solutions of nonlinear operators in Banach spaces. These iterative processes maintain the quadratic convergence of Newton's method.
Eva G. Villalba   +3 more
wiley   +1 more source

Note on Qualitative Robustness of Multivariate Sample Mean and Median

open access: yesJournal of Probability and Statistics, 2013
It is known that the robustness properties of estimators depend on the choice of a metric in the space of distributions. We introduce a version of Hampel's qualitative robustness that takes into account the n-asymptotic normality of estimators in Rk, and
Evgueni Gordienko   +2 more
doaj   +1 more source

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