Results 51 to 60 of about 6,054 (174)
Estimates for the Differences of Certain Positive Linear Operators
The present paper deals with estimates for differences of certain positive linear operators defined on bounded or unbounded intervals. Our approach involves Baskakov type operators, the kth order Kantorovich modification of the Baskakov operators, the ...
Ana Maria Acu, Sever Hodiş, Ioan Rașa
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Convergence properties of generalized Lupaş-Kantorovich operators
In the present paper, we consider the Kantorovich modification of generalized Lupaş operators, whose construction depends on a continuously differentiable, increasing and unbounded function $\rho$.
M. Qasim +3 more
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A Choquet theory of Lipschitz‐free spaces
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
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Approximation in variation by the Kantorovich operators; pp. 201–209 [PDF]
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
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The Krawczyk operator and Kantorovich's theorem
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
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Asymptotic Properties for a General Class of Szász–Mirakjan–Durrmeyer Operators
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 +3 more
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Kantorovich-Schurer bivariate operators [PDF]
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 ...
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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 +4 more
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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 +4 more
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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 +2 more
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