Results 51 to 60 of about 336 (167)

Approximation in variation by the Kantorovich operators; pp. 201–209 [PDF]

Proceedings of the Estonian Academy of Sciences, 2011
We discuss the rate of approximation of the Kantorovich operators. The rate of approximation is given with respect to the variation seminorm.
Andi Kivinukk, Tarmo Metsmägi
doaj   +1 more source

The Krawczyk operator and Kantorovich's theorem

Journal of Mathematical Analysis and Applications, 1990
The paper deals with the comparison of Kantorovich's test for the existence of a solution of a system of nonlinear equations of the form \(F(x)=0\) and a modification of Moore's existence test based on the Krawczyk operator. The modification involves a suitable slope instead of the Jacobian matrix \(F'\) and is proved to require less computational work
Neumaier, Arnold, Zuhe, Shen
openaire   +1 more source

Quantifying functionally equivalent species and ecological network dissimilarity with optimal transport distances

Methods in Ecology and Evolution, Volume 17, Issue 2, Page 301-321, February 2026.
Abstract Quantifying the structure and dynamics of species interactions in ecological communities is fundamental to studying ecology and evolution. While there are numerous approaches to analysing ecological networks, there is not yet an approach that can (1) quantify dissimilarity in the global structure of ecological networks that range from ...
Kai M. Hung, Lydia Beaudrot, Ann E. Finneran, Alex G. Zalles, César A. Uribe   +4 more
wiley   +1 more source

Kantorovich-Schurer bivariate operators [PDF]

Miskolc Mathematical Notes, 2004
Summary: Let \(p,q\) be two non-negative given integers. The sequence \((\tilde{K}_{m,n,p,q})_{m,n\in N}\), \(\tilde{K}_{m,n,p,q}:L_1([0,1]\times [0,1])\to C([0,1]\times[0,1])\), \[ \left(\tilde{K}_{m,n,p,q} f\right)(x,y) \] \[ = (m+p+1)(n+p+1)\times \sum\nolimits^{m+p}_{k=0}\sum\nolimits^{n+q}_{j=0} \tilde{p}_{m,k}(x)\tilde{p}_{n j}(y)\int\nolimits ...
openaire   +3 more sources

A Choquet theory of Lipschitz‐free spaces

Proceedings 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

Statistical convergence of integral form of modified Szász–Mirakyan operators: an algorithm and an approach for possible applications

Journal of Inequalities and Applications
In this study, we take into account the of modified Szász–Mirakyan–Kantorovich operators to obtain their rate of convergence using the modulus of continuity and for the functions in Lipschitz space.
Neha Bhardwaj, Rashmi Singh, Aryan Chaudhary, Achyut Shankar, Rahul Kumar   +4 more
doaj   +1 more source

Asymptotic Properties for a General Class of Szász–Mirakjan–Durrmeyer Operators

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 734-743, 30 January 2026.
ABSTRACT In this paper, we introduce a general family of Szász–Mirakjan–Durrmeyer type operators depending on an integer parameter j∈ℤ$$ j\in \mathbb{Z} $$. They can be viewed as a generalization of the Szász–Mirakjan–Durrmeyer operators, Phillips operators, and corresponding Kantorovich modifications of higher order.
Ulrich Abel, Ana‐Maria Acu, Margareta Heilmann, Ioan Rasa   +3 more
wiley   +1 more source

Digital Twin‐Driven Two‐Stage Bi‐Level Collaborative Operation Strategy for Multi‐Microgrids Considering Energy Sharing and Price Incentives

Digital Twins and Applications, Volume 3, Issue 1, January/December 2026.
ABSTRACT To enhance the techno‐economic performance and robustness of multi‐microgrids (MMG) systems, this paper proposes a two‐stage bi‐level collaborative optimisation strategy integrating energy sharing and price incentives. In the day‐ahead stage, the shared energy storage operator (SESO) at the upper level employs conditional Wasserstein ...
Xianghu Cui, Qiang Guo, Fei Xu, Xiang Hu, Jianqiang Ouyang   +4 more
wiley   +1 more source

Shape preserving properties and monotonicity properties of the sequences of Choquet type integral operators

Journal of Numerical Analysis and Approximation Theory, 2018
In this paper, for the univariate Bernstein-Kantorovich-Choquet, Szasz-Kantorovich-Choquet, Baskakov-Kantorovich-Choquet and Bernstein-Durrmeyer-Choquet operators written in terms of the Choquet integrals with respect to monotone and submodular set ...
Sorin Gal
doaj   +2 more sources

Adaptive Multi‐Timeframe Reconfiguration of Smart Distribution Networks With Flexibility Resources Under Operational Uncertainty

IET Generation, Transmission &Distribution, Volume 20, Issue 1, January/December 2026.
This paper introduces a hybrid deterministic‐stochastic framework for the multi‐timeframe reconfiguration (MTFR) of distribution networks, coordinating renewable resources and demand response under uncertainty. The proposed MTFR strategy, validated on the IEEE 33‐bus system, significantly reduces operational costs and energy losses while improving ...
Milad Gilanifar, Hamid‐reza Shakouri, Majid Shahabi   +2 more
wiley   +1 more source