Results 21 to 30 of about 171 (130)
A general duality theorem for the Monge–Kantorovich transport problem [PDF]
The duality theory of the Monge--Kantorovich transport problem is analyzed in a general setting. The spaces $X, Y$ are assumed to be polish and equipped with Borel probability measures $ $ and $ $. The transport cost function $c:X\times Y \to [0,\infty]$ is assumed to be Borel.
Beiglböck, Mathias +2 more
openaire +3 more sources
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
wiley +1 more source
Quantitative images of large biological bodies in microwave tomography by using numerical and real data [PDF]
A new inverse microwave imaging algorithm is presented which has the ability to obtain quantitative dielectric maps of large biological bodies. By using a priori information, obtained with a first order algorithm, the final image is obtained by solving ...
Bolomey, J. C. (Jean-Charles) +3 more
core +2 more sources
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
wiley +1 more source
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
wiley +1 more source
The Legendre–Fenchel Conjugate of the Product of Two Positive Definite Quadratic Forms [PDF]
It is well-known that the Legendre-Fenchel conjugate of a positive-denite quadratic form can be explicitly expressed as another positive-denite quadratic form, and that the conjugate of the sum of several positive-denite quadratic forms can be expressed ...
Zhao, Yun-Bin
core +2 more sources
Robust Λ$\Lambda$‐Quantiles and Extremal Distributions
ABSTRACT In this paper, we investigate the robust models for Λ$\Lambda$‐quantiles with partial information regarding the loss distribution, where Λ$\Lambda$‐quantiles extend the classical quantiles by replacing the fixed probability level with a probability/loss function Λ$\Lambda$.
Xia Han, Peng Liu
wiley +1 more source
An Interval‐Valued Fermatean Neutrosophic Framework for Sustainable Transportation Under Uncertainty
Transportation planning is facing heightened complexity because the dynamic parameters influenced by globalization and unpredictable technological disruptions. Traditional models are not capable to handle interval‐based uncertainties related to supply, demand, and costs, especially as the scale of suppliers and customers expands.
Muhammad Kamran +4 more
wiley +1 more source
Approximation theorems for q-Bernstein-Kantorovich operators
In the present paper we introduce a q-analogue of the Bernstein-Kantorovich operators and investigate their approximation properties. We study local and global approximation properties and Voronovskaja type theorem for the q-Bernstein-Kantorovich operators in case 0 < q < 1.
Nazim Mahmudov, Pembe Sabancigil
openaire +2 more sources

