Results 31 to 40 of about 1,276,641 (352)

Some Hilbert spaces related with the Dirichlet space

open access: yesConcrete Operators, 2016
We study the reproducing kernel Hilbert space with kernel kd , where d is a positive integer and k is the reproducing kernel of the analytic Dirichlet space.
Arcozzi Nicola   +4 more
doaj   +1 more source

On solutions of fractional order time varying linear dynamical systems model

open access: yesArab Journal of Basic and Applied Sciences, 2021
In this paper, the linear and nonlinear fractional order time varying linear dynamical systems model has been studied. The homotopy perturbation method is used to find the approximation solution.
Mahmut Modanli, Ali Akgül
doaj   +1 more source

A Kernel Affine Projection-Like Algorithm in Reproducing Kernel Hilbert Space

open access: yesIEEE Transactions on Circuits and Systems - II - Express Briefs, 2020
A kernel affine projection-like algorithm (KAPLA) is proposed in reproducing kernel Hilbert space in non-Gaussian environments. The cost function for the developed algorithm is constructed by using the correntropy approach and Gaussian kernel to deal ...
Qishuai Wu   +4 more
semanticscholar   +1 more source

Reproducing Kernels for q-Jacobi Polynomials [PDF]

open access: yesProceedings of the American Mathematical Society, 1977
We derive a family of reproducing kernels for the q-Jacobi polynomials Φ n ( α , β ) ( x ) = 2 Φ 1 (
Al-Salam, Waleed A.   +1 more
openaire   +2 more sources

Numerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method

open access: yesAbstract and Applied Analysis, 2013
We investigate the effectiveness of reproducing kernel method (RKM) in solving partial differential equations. We propose a reproducing kernel method for solving the telegraph equation with initial and boundary conditions based on reproducing kernel ...
Mustafa Inc   +2 more
doaj   +1 more source

PIECEWISE OPTIMAL FRACTIONAL REPRODUCING KERNEL SOLUTION AND CONVERGENCE ANALYSIS FOR THE ATANGANA–BALEANU–CAPUTO MODEL OF THE LIENARD’S EQUATION

open access: yes, 2020
In this paper, an attractive reliable analytical technique is implemented for constructing numerical solutions for the fractional Lienard’s model enclosed with suitable nonhomogeneous initial condi...
S. Momani, O. A. Arqub, Banan Maayah
semanticscholar   +1 more source

Reproducing kernel Hilbert space method for the solutions of generalized Kuramoto–Sivashinsky equation

open access: yesJournal of Taibah University for Science, 2019
Reproducing kernel Hilbert space method is given for the solution of generalized Kuramoto–Sivashinsky equation. Reproducing kernel functions are obtained to get the solution of the generalized Kuramoto–Sivashinsky equation.
Ali Akgül, Ebenezer Bonyah
doaj   +1 more source

Reproducing kernel Hilbert spaces on manifolds: Sobolev and Diffusion spaces [PDF]

open access: yesAnalysis and Applications, 2019
We study reproducing kernel Hilbert spaces (RKHS) on a Riemannian manifold. In particular, we discuss under which condition Sobolev spaces are RKHS and characterize their reproducing kernels.
E. Vito, Nicole Mücke, L. Rosasco
semanticscholar   +1 more source

Integration in reproducing kernel Hilbert spaces of Gaussian kernels [PDF]

open access: yesMathematics of Computation, 2020
The Gaussian kernel plays a central role in machine learning, uncertainty quantification and scattered data approximation, but has received relatively little attention from a numerical analysis standpoint.
T. Karvonen, C. Oates, M. Girolami
semanticscholar   +1 more source

Reproducing Kernel Method with Global Derivative

open access: yesJournal of Function Spaces, 2023
Ordinary differential equations describe several phenomena in different fields of engineering and physics. Our aim is to use the reproducing kernel Hilbert space method (RKHSM) to find a solution to some ordinary differential equations (ODEs) that are ...
Nourhane Attia   +2 more
doaj   +1 more source

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