Results 21 to 30 of about 414,180 (260)

On well‐definability of the L∞/L2 Hankel operator and detection of all the critical instants in sampled‐data systems

open access: yesIET Control Theory & Applications, 2021
Because sampled‐data systems have h‐periodic nature with the sampling period h, an arbitrary Θ∈[0,h) is taken and the quasi L∞/L2 Hankel operator at Θ is defined as the mapping from L2(−∞,Θ) to L∞[Θ,∞). Its norm called the quasi L∞/L2 Hankel norm at Θ is
Tomomichi Hagiwara   +2 more
doaj   +1 more source

Data‐driven performance metrics for neural network learning

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView., 2023
Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri   +2 more
wiley   +1 more source

A note on weighted bounds for rough singular integrals [PDF]

open access: yes, 2017
We show that the $L^2(w)$ operator norm of the composition $M\!\circ T_{\Omega}$, where $M$ is the maximal operator and $T_{\Omega}$ is a rough homogeneous singular integral with angular part $\Omega\in L^{\infty}(S^{n-1})$, depends quadratically on $[w ...
Lerner, Andrei K.
core   +3 more sources

Norm Comparison Estimates for the Composite Operator

open access: yesJournal of Function Spaces, 2014
This paper obtains the Lipschitz and BMO norm estimates for the composite operator 𝕄s∘P applied to differential forms. Here, 𝕄s is the Hardy-Littlewood maximal operator, and P is the potential operator.
Xuexin Li, Yong Wang, Yuming Xing
doaj   +1 more source

Norm Reduction of Averaging Operators [PDF]

open access: yesProceedings of the American Mathematical Society, 1972
Suppose ϕ : S → T \phi :S \to T is an irreducible map of compact Hausdorff spaces, and μ : T → M ( S ) \mu :T \to M(S) the integral representation of an averaging operator for ϕ \phi . We obtain an inequality of
H. B. Cohen, M. A. Labbe, J. Wolfe
openaire   +3 more sources

Norm and Essential Norm of an Integral-Type Operator from the Dirichlet Space to the Bloch-Type Space on the Unit Ball

open access: yesAbstract and Applied Analysis, 2010
Operator norm and essential norm of an integral-type operator, recently introduced by this author, from the Dirichlet space to the Bloch-type space on the unit ball in ℂ𝑛 are calculated here.
Stevo Stević
doaj   +1 more source

Hybrid projected subgradient-proximal algorithms for solving split equilibrium problems and split common fixed point problems of nonexpansive mappings in Hilbert spaces

open access: yesFixed Point Theory and Applications, 2018
In this paper, we propose two strongly convergent algorithms which combines diagonal subgradient method, projection method and proximal method to solve split equilibrium problems and split common fixed point problems of nonexpansive mappings in a real ...
Anteneh Getachew Gebrie   +1 more
doaj   +1 more source

Tight computationally efficient approximation of matrix norms with applications

open access: yesOpen Journal of Mathematical Optimization, 2022
We address the problems of computing operator norms of matrices induced by given norms on the argument and the image space. It is known that aside of a fistful of “solvable cases”, most notably, the case when both given norms are Euclidean, computing ...
Juditsky, Anatoli   +2 more
doaj   +1 more source

Modified Krasnoselski–Mann iterative method for hierarchical fixed point problem and split mixed equilibrium problem

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we introduce a modified Krasnoselski–Mann type iterative method for capturing a common solution of a split mixed equilibrium problem and a hierarchical fixed point problem of a finite collection of k-strictly pseudocontractive nonself ...
Jong Kyu Kim, Prashanta Majee
doaj   +1 more source

On solvability of focal boundary value problems for higher order functional differential equations with integral restrictions

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
Sharp conditions are obtained for the unique solvability of focal boundary value problems for higher-order functional differential equations under integral restrictions on functional operators.
Eugene Bravyi
doaj   +1 more source

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