Results 71 to 80 of about 1,156,986 (207)

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

Approximation of Integrable Functions by Modified Barbosu Operators [PDF]

International Journal of Mathematical, Engineering and Management Sciences
This paper presents an approximation method of integrable functions using a modified Barbosu operator, aimed at improving the rate of convergence in function approximation on the interval [0,1]. By introducing a suitable adjustment in the weight function,
Rahul Kumar, Asha Ram Gairola
doaj   +1 more source

Order of approximation for sampling Kantorovich operators [PDF]

Journal of Integral Equations and Applications, 2014
In this paper, we study the problem of the rate of approximation for the family of sampling Kantorovich operators in the uniform norm, for uniformly continuous and bounded functions belonging to Lipschitz classes (Zygmund-type classes), and for functions in Orlicz spaces.
COSTARELLI, Danilo, VINTI, Gianluca
openaire   +3 more sources

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

On the \(L_{p}\)-saturation of the Ye-Zhou operator

Journal of Numerical Analysis and Approximation Theory, 2005
We solve the saturation problem for a class of Ye-Zhou operator \(T_{n}( f , x ) = P_{n}( x ) A_{n} L_{n}( f )\) with suitable sequence of matrices \(\{ A_{n} \}_{n \geq 1}.\) The solution is based on the saturation theorem for the Kantorovich operator ...
Zoltán Finta
doaj   +2 more sources

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

Finding good starting points for solving equations by Newton's method

Journal of Numerical Analysis and Approximation Theory, 2009
We study the problem of finding good starting points for the semilocal convergence of Newton's method to a locally unique solution of an operator equation in a Banach space setting.
Ioannis K. Argyros
doaj   +2 more sources

Boundedness of a Kantorovich type of the Szász-Mirakjan Operator [PDF]

ITM Web of Conferences
Let Bn f represent the n-th Bernstein polynomial for f for each n ϵ ℕ and f ϵ C ([0, 1]) . Then for any f ϵ C ([0, 1]), the sequence {Bn f} converges uniformly to f.
Neswan Oki, Hakim Denny Ivanal, Ifronika, Setya-Budhi Wono   +3 more
doaj   +1 more source

Approximation by Parametric Extension of Szász-Mirakjan-Kantorovich Operators Involving the Appell Polynomials

Journal of Function Spaces, 2020
The purpose of this article is to introduce a Kantorovich variant of Szász-Mirakjan operators by including the Dunkl analogue involving the Appell polynomials, namely, the Szász-Mirakjan-Jakimovski-Leviatan-type positive linear operators.
Md. Nasiruzzaman, A. F. Aljohani
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