Results 51 to 60 of about 496,422 (144)

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

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

A NUMERICAL COMPARATIVE STUDY OF GENERALIZED BERNSTEIN-KANTOROVICH OPERATORS

, 2021
In this paper, a new generalization of the Bernstein-Kantorovich type operators involving multiple shape parameters is introduced. Certain Voronovskaja and Gru spacing diaeresis ss-Voronovskaya type approximation results, statistical convergence and ...
Kadak, Ugur, ÖZGER, FARUK
core   +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

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

The Kantorovich form of some extensions for the Szász-Mirakjan operators

Journal of Numerical Analysis and Approximation Theory, 2010
Recently, C. Mortici defined a class of linear and positive operators depending on a certain function \(\varphi\). These operators generalize the well known Szász-Mirakjan operators.
Dan Bărbosu, Ovidiu T. Pop, Dan Miclăuş   +2 more
doaj   +2 more sources

Approximation properties of Kantorovich type q-Balázs-Szabados operators

Demonstratio Mathematica, 2019
In this paper, we introduce a new kind of q-Balázs-Szabados-Kantorovich operators called q-BSK operators. We give a weighted statistical approximation theorem and the rate of convergence of the q-BSK operators.
Özkan Esma Yıldız
doaj   +1 more source

Stochastic Transactive Energy Coordination of Integrated Multi‐Carrier Energy Hubs in Multi‐Microgrid Systems: A Two‐Stage Optimisation Framework With Energy Storage Integration

IET Generation, Transmission &Distribution, Volume 20, Issue 1, January/December 2026.
This study introduces a two‐stage cooperative optimisation framework for energy management in integrated multi‐carrier energy hubs within a multi‐microgrid system. By combining hierarchical decision‐making, scenario‐based stochastic programming, transactive energy coordination, a novel cooperative allocation mechanism, AC optimal power flow analysis ...
Omid Rahimzadeh, Fahimeh Norouzi, Shahram Jadid   +2 more
wiley   +1 more source

Interpolation for neural-network operators activated with a generalized logistic-type function

Journal of Inequalities and Applications
This paper defines a family of neural-network interpolation operators. The first derivative of generalized logistic-type functions is considered as a density function.
Hande Uyan, Abdullah Ozan Aslan, Seda Karateke, İbrahim Büyükyazıcı   +3 more
doaj   +1 more source

Convergence by Class of Kantorovich-Type q-Szász Operators and Comprehensive Results

Mathematics
In this paper, we primarily use Stancu variants of Kantorovich-type operators to investigate the convergence and other associated properties of new Szász–Mirakjan operators.
Md. Nasiruzzaman, Mohammad Farid, Nadeem Rao   +2 more
doaj   +1 more source