Results 51 to 60 of about 7,613 (204)

Kantorovich type reverse inequalities for operator norm [PDF]

Mathematical Inequalities & Applications, 2005
The authors extend a theorem of Bourin, contained in the electronically available monograph [\textit{J.--C. Bourin}, ``Compressions, Dilations and Matrix Inequalities'' (RGMIA Monographs, Victoria University) (2004; http://rgmia.vu.edu.au/monographs/matrix.html)]) to the framework of operators on a Hilbert space by applying the Mond--Pečarić method for
Fujii, Jun Ichi, Seo, Yuki, Tominaga, Masaru   +2 more
openaire   +1 more source

Approximation by ψ‐Baskakov‐Kantorovich Operators

Mathematical 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, Mustafa Kara, Erdem Baytunç   +2 more
wiley   +1 more source

A New Kantorovich-Type Rational Operator and Inequalities for Its Approximation [PDF]

, 2022
Esma Yıldız Özkan
openalex   +1 more source

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

Mathematical 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

Meteorological 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, Colin J. Cotter, Marion P. Mittermaier   +2 more
wiley   +1 more source

Convergence rates for upwind schemes with rough coefficients

, 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

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

Mathematical 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, Miguel Hernandez, Jose L. Hueso, Eulalia Martínez   +3 more
wiley   +1 more source

The efficiency factorization multiplier for the Watson efficiency in partitioned linear models: some examples and a literature review [PDF]

, 2005
We consider partitioned linear models where the model matrix X = (X1 : X2) has full column rank, and concentrate on the special case whereX0 1X2 = 0 when we say that the model is orthogonally partitioned.
Chu, Ka Lok, Isotalo, Jarkko, Puntanen, Simo, Styan, George P.H.   +3 more
core  

A characterization of operator order via grand Furuta

Journal 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  

ψ‐Bernstein–Kantorovich operators

Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 1124-1141, 15 January 2025.
In this article, we introduce a modified class of Bernstein–Kantorovich operators depending on an integrable function ψα$$ {\psi}_{\alpha } $$ and investigate their approximation properties. By choosing an appropriate function ψα$$ {\psi}_{\alpha } $$, the order of approximation of our operators to a function f$$ f $$ is at least as good as the ...
Hüseyin Aktuğlu, Mustafa Kara, Erdem Baytunç   +2 more
wiley   +1 more source