Results 41 to 50 of about 2,581 (224)

Simplified iterative reproducing kernel method for handling time-fractional BVPs with error estimation

open access: yesAin Shams Engineering Journal, 2018
In this article, we introduce a novel numerical scheme, the iterative reproducing kernel method (IRKM), for providing numerical approximate solutions of a certain class of time-fractional boundary value problem within favorable aspects of the reproducing
Mohammed Al-Smadi
doaj   +1 more source

Approximation properties for multiplier algebras of reproducing kernel Hilbert spaces [PDF]

open access: yes, 2008
In this note, it is proved that multiplier algebras of analytic reproducing kernel Hilbert spaces which are compatible with the action of the torus group possess Kraus’ completely contractive approximation property (CCAP) and, consequently, have the ...
Barbian, Christoph, Barbian Christoph
core   +1 more source

Learnability in Hilbert Spaces with Reproducing Kernels

open access: yesJournal of Complexity, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces

open access: yes, 2011
The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. In particular, when the involved kernel is analytic in the sampling parameter it can be stated in an abstract setting of reproducing kernel Hilbert spaces
Hernández-Medina, Miguel A.   +7 more
core   +1 more source

Density Problem and Approximation Error in Learning Theory

open access: yesAbstract and Applied Analysis, 2013
We study the density problem and approximation error of reproducing kernel Hilbert spaces for the purpose of learning theory. For a Mercer kernel on a compact metric space (, ), a characterization for the generated reproducing kernel Hilbert space (RKHS)
Ding-Xuan Zhou
doaj   +1 more source

Representing Functions in H2 on the Kepler Manifold via WPOAFD Based on the Rational Approximation of Holomorphic Functions

open access: yesMathematics, 2022
The central problem of this study is to represent any holomorphic and square integrable function on the Kepler manifold in the series form based on Fourier analysis.
Zeyuan Song, Zuoren Sun
doaj   +1 more source

Reproducing kernel Hilbert spaces and variable metric algorithms in PDE constrained shape optimisation [PDF]

open access: yes, 2016
In this paper we investigate and compare different gradient algorithms designed for the domain expression of the shape derivative. Our main focus is to examine the usefulness of kernel reproducing Hilbert spaces for PDE constrained shape optimisation ...
M. Eigel   +3 more
core   +1 more source

Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations

open access: yesAbstract and Applied Analysis, 2012
On the basis of reproducing kernel Hilbert spaces theory, an iterative algorithm for solving some nonlinear differential-difference equations (NDDEs) is presented.
Reza Mokhtari   +2 more
doaj   +1 more source

GPU-Accelerated Partially Linear Multiuser Detection for 5G and Beyond URLLC Systems

open access: yesIEEE Access, 2022
We have implemented a recently proposed partially linear multiuser detection algorithm in reproducing kernel Hilbert spaces (RKHSs) on a GPU-accelerated platform.
Matthias Mehlhose   +8 more
doaj   +1 more source

Operators associated with soft and hard spectral edges from unitary ensembles. [PDF]

open access: yes, 2008
Using Hankel operators and shift-invariant subspaces on Hilbert space, this paper develops the theory of integrable operators associated with soft and hard edges of eigenvalues distributions of random matrices. Such Tracy--Widom operators are realized as
Blower, Gordon
core   +1 more source

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