Learning theory viewpoint of approximation by positive linear operators
Computers and Mathematics With Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lei Shi
exaly +2 more sources
Koopman Operator Framework for Spectral Analysis and Identification of Infinite-Dimensional Systems
Mathematics, 2021 We consider the Koopman operator theory in the context of nonlinear infinite-dimensional systems, where the operator is defined over a space of bounded continuous functionals. The properties of the Koopman semigroup are described and a finite-dimensional
Alexandre Mauroy
doaj +1 more source
Model-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman Operator
IEEE Access, 2022 This paper presents a model-free fault detection and isolation (FDI) method for nonlinear dynamical systems using Koopman operator theory and linear geometric technique.
Mohammadhosein Bakhtiaridoust +3 more
doaj +1 more source
On the stability of some positive linear operators from approximation theory [PDF]
Bulletin of Mathematical Sciences, 2015 Recently, Popa and Raşa have shown the stability/ instability of some classical operators defined on $$[0,1]$$ and obtained the best constant when the positive linear operators are stable in the sense of Hyers–Ulam. In this paper we show that the Kantorovich–Stancu type operators, King's operator, Bernstein–Stancu type operators, and Kantorovich ...
M. Mursaleen, Khursheed J. Ansari
openaire +3 more sources
Analysis of approximation by linear operators on variable \(L_\rho^{p(\cdot)}\) spaces and applications in learning theory [PDF]
Abstract and Applied Analysis, 2014 Summary: This paper is concerned with approximation on variable \(L_\rho^{p(\cdot)}\) spaces associated with a general exponent function \(p\) and a general bounded Borel measure \(\rho\) on an open subset \(\Omega\) of \(\mathbb{R}^d\). We mainly consider approximation by Bernstein type linear operators. Under an assumption of log-Hölder continuity of
Li, Bing-Zheng, Zhou, Ding-Xuan
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EXCITATION METHOD IN PROBLEMS OF REGRESSION OF A LINEAR MATRIX
Міжнародний науково-технічний журнал "Проблеми керування та інформатики", 2020 In the framework of the theory of linear regression, linear from observations estimates are studied, in particular, the unbiased estimates, which lead to unbiased equations, among which the solutions are distinguished by the minimum norm, which allows ...
О.Г. Наконечний +3 more
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GENERALIZED QUADRATIC SPECTRUM APPROXIMATION IN BOUNDED AND UNBOUNDED CASES
Проблемы анализа, 2021 The goal of this paper is to generalize concepts in spectral theory in order to define the quadratic spectrum associated to three bounded linear operators. This concept was initially defined for three matrices.
S. Kamouche +3 more
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A Note on New Construction of Meyer-König and Zeller Operators and Its Approximation Properties
Mathematics, 2021 The topic of approximation with positive linear operators in contemporary functional analysis and theory of functions has emerged in the last century. One of these operators is Meyer–König and Zeller operators and in this study a generalization of Meyer ...
Qing-Bo Cai +2 more
doaj +1 more source
Linear Operator Inequality and Null Controllability with Vanishing Energy for Unbounded Control Systems [PDF]
, 2013 We consider a linear boundary or point control system on a Hilbert space $H$ which is null controllable at some time $T_0 >0$. To every initial state $ y_0 \in H$ we associate the minimal ``energy'' needed to transfer $ y_0 $ to $ 0 $ in a time $ T \ge ...
Zabczyk, J. +7 more
core +1 more source
Linear stationary iterative methods for the force-based quasicontinuum approximation [PDF]
, 2012 Force-based multiphysics coupling methods have become popular since they provide a simple and efficient coupling mechanism, avoiding the difficulties in formulating and implementing a consistent coupling energy.
Luskin, Mitchell Barry +1 more
core +1 more source