Results 61 to 70 of about 4,878 (176)
Approximation Properties of a New Class of Beta‐Type Szász–Mirakjan Operators
Journal of Mathematics, Volume 2025, Issue 1, 2025.We use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász‐beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K‐function, the local approximation results of these operators are studied.
Md. Nasiruzzaman +3 more
wiley +1 more source
Learning from small data sets: Patch‐based regularizers in inverse problems for image reconstruction
GAMM-Mitteilungen, Volume 47, Issue 4, November 2024.Abstract The solution of inverse problems is of fundamental interest in medical and astronomical imaging, geophysics as well as engineering and life sciences. Recent advances were made by using methods from machine learning, in particular deep neural networks.
Moritz Piening +5 more
wiley +1 more source
Neural‐network‐based regularization methods for inverse problems in imaging
GAMM-Mitteilungen, Volume 47, Issue 4, November 2024.Abstract This review provides an introduction to—and overview of—the current state of the art in neural‐network based regularization methods for inverse problems in imaging. It aims to introduce readers with a solid knowledge in applied mathematics and a basic understanding of neural networks to different concepts of applying neural networks for ...
Andreas Habring, Martin Holler
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Improved Young and Heinz inequalities with the Kantorovich constant
, 2015 In this article, we study the further refinements and reverses of the Young and Heinz inequalities with the Kantorovich constant. These modified inequalities are used to establish corresponding operator inequalities on Hilbert space and Hilbert-Schmidt ...
Liao, Wenshi, Wu, Junliang
core
Continuity of extensions of Lipschitz maps and of monotone maps
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract Let X$X$ be a subset of a Hilbert space. We prove that if v:X→Rm$v\colon X\rightarrow \mathbb {R}^m$ is such that v(x)−∑i=1mtiv(xi)⩽x−∑i=1mtixi$$\begin{equation*} {\left \Vert v(x)-\sum _{i=1}^m t_iv(x_i)\right \Vert} \leqslant {\left \Vert x-\sum _{i=1}^m t_ix_i\right \Vert} \end{equation*}$$for all x,x1,⋯,xm∈X$x,x_1,\dotsc,x_m\in X$ and all ...
Krzysztof J. Ciosmak
wiley +1 more source
Schauder and Cordes–Nirenberg estimates for nonlocal elliptic equations with singular kernels
Proceedings of the London Mathematical Society, Volume 129, Issue 3, September 2024.Abstract We study integro‐differential elliptic equations (of order 2s$2s$) with variable coefficients, and prove the natural and most general Schauder‐type estimates that can hold in this setting, both in divergence and non–divergence form. Furthermore, we also establish Hölder estimates for general elliptic equations with no regularity assumption on ...
Xavier Fernández‐Real +1 more
wiley +1 more source
Energy Science &Engineering, Volume 12, Issue 8, Page 3356-3378, August 2024.Three‐dimensional plot of voltage magnitude of buses of each selected week for the 33‐bus distribution system. Abstract The paper proposes a new stochastic multiobjective technoeconomic model for integrating photovoltaic (PV) and wind energy resources in electricity price (EP)‐driven distribution systems.
Kushal Manoharrao Jagtap +4 more
wiley +1 more source
On the solution of generalized equations and variational inequalities
Cubo, 2011 Uko and Argyros provided in [18] a Kantorovich-type theorem on the existence and uniqueness of the solution of a generalized equation of the form 𝓕 (𝓤)+ 𝓖(𝓤) ∋ 0, where f is a Fréchet-differentiable function, and g ...
Ioannis K Argyros, Saïd Hilout
doaj
, 2005 Some rearrangement inequalities for symmetric norms on matrices are given as well as related results for operator convex functions.Comment: to appear in ...
Bourin, Jean-Christophe
core +1 more source
A Conversation With Marc Hallin
International Statistical Review, Volume 92, Issue 2, Page 137-159, August 2024.Summary Marc Hallin was born in Ghent, Belgium, on 23 April 1949. He holds a Licence en Sciences mathématiques (1971), a Licence en Sciences actuarielles (1972), and a Doctorat en Sciences (1976) from the Université libre de Bruxelles. He then rose through the professorial ranks at the same institution, being successively Premier Assistant (1977–1978),
Christian Genest
wiley +1 more source