Results 51 to 60 of about 4,878 (176)

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  

Nonlocal Lagrange multipliers and transport densities

Bulletin of Mathematical Sciences
We prove the existence of generalized solutions of the Monge–Kantorovich equations with fractional [Formula: see text]-gradient constraint, [Formula: see text], associated to a general, possibly degenerate, linear fractional operator of the type, ℒsu ...
Assis Azevedo, José Francisco Rodrigues, Lisa Santos   +2 more
doaj   +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

The Quantum Gromov-Hausdorff Propinquity [PDF]

, 2013
We introduce the quantum Gromov-Hausdorff propinquity, a new distance between quantum compact metric spaces, which extends the Gromov-Hausdorff distance to noncommutative geometry and strengthens Rieffel's quantum Gromov-Hausdorff distance and Rieffel's ...
Latremoliere, Frederic
core   +2 more sources

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

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

Sector operator inequalities involving positive linear maps

Journal of Inequalities and Applications
In this note, we prove the pth power ( p ≥ 2 $p\geq 2$ ) of two new sector operator inequalities for positive linear maps which are due to Bedrani et al. (Positivity 25:1601-1629, 2021) and Nasiri (Filomat 38:3429-3438, 2024), respectively.
Jiqin Chen, Xiaohui Fu, Qi Song, Chuchu Tang   +3 more
doaj   +1 more source

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

Benders Decomposition‐Based Power Network Expansion Planning According to Eco‐Sizing of High‐Voltage Direct‐Current System, Power Transmission Cables and Renewable/Non‐Renewable Generation Units

IET Renewable Power Generation, Volume 19, Issue 1, January/December 2025.
HVDCsystems are taken into consideration while GTEP in this paper. It is based on the placement and sizing of generating units, AC transmission cables, and HVDC systems. ABSTRACT High‐voltage DC (HVDC) systems are taken into consideration while simultaneous generation and transmission expansion planning in this paper.
Kazem Emdadi, Sasan Pirouzi
wiley   +1 more source

A Bernstein‐Like Trigonometric Basis: Properties, Curve Design, and Operator Construction

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
We introduce a novel family of trigonometric basis functions equipped with a shape parameter, analogous to Bernstein functions. These basis functions are employed to construct Bézier‐like curves, termed “trigo‐curves”, which retain the fundamental properties of classical Bézier curves while offering enhanced shape control through parameter adjustment ...
Jamshid Saeidian, Bahareh Nouri, Aram Azizi, Saeid Abbasbandy   +3 more
wiley   +1 more source