Results 11 to 20 of about 16,578 (196)

Reproducing Kernel Hilbert Spaces and fractal interpolation

open access: yesJournal of Computational and Applied Mathematics, 2011
The main result of this work is to link two fields: fractal interpolation and reproducing kernel Hilbert space. The corresponding spaces of the simple fractal interpolation functions are also reproducing kernel Hilbert spaces, as specific cases. The authors provide the elements for calculating the respective kernel functions for reproducing kernel ...
Bouboulis, P., Mavroforakis, M.
openaire   +4 more sources

Numerical Solution of Fractional Order Burgers’ Equation with Dirichlet and Neumann Boundary Conditions by Reproducing Kernel Method

open access: yesFractal and Fractional, 2020
In this research, obtaining of approximate solution for fractional-order Burgers’ equation will be presented in reproducing kernel Hilbert space (RKHS). Some special reproducing kernel spaces are identified according to inner products and norms.
Onur Saldır   +2 more
doaj   +1 more source

A Generalized Norm on Reproducing Kernel Hilbert Spaces and Its Applications

open access: yesAxioms, 2023
The aim of this article was to provide improved estimates for the (α,β)-norm of a bounded linear operator. In particular, our results enabled the determination of new upper bounds involving both the Berezin number and the Berezin norm of bounded linear ...
Najla Altwaijry   +2 more
doaj   +1 more source

Beurling-Type Theorem for a Class of Reproducing Kernel Hilbert Spaces

open access: yesJournal of Mathematics, 2022
In this paper, it is proved that the Beurling-type theorem holds for the shift operator on a class of reproducing analytic Hilbert spaces.
Zhi-jie Wang   +2 more
doaj   +1 more source

Factorizations of Kernels and Reproducing Kernel Hilbert Spaces [PDF]

open access: yesIntegral Equations and Operator Theory, 2017
The paper discusses a series of results concerning reproducing kernel Hilbert spaces, related to the factorization of their kernels. In particular, it is proved that for a large class of spaces isometric multipliers are trivial. One also gives for certain spaces conditions for obtaining a particular type of dilation, as well as a classification of ...
Kumari, Rani   +3 more
openaire   +3 more sources

Numerical solvability of generalized Bagley–Torvik fractional models under Caputo–Fabrizio derivative

open access: yesAdvances in Difference Equations, 2021
This paper deals with the generalized Bagley–Torvik equation based on the concept of the Caputo–Fabrizio fractional derivative using a modified reproducing kernel Hilbert space treatment.
Shatha Hasan   +5 more
doaj   +1 more source

INFORMATIVE ENERGY METRIC FOR SIMILARITY MEASURE IN REPRODUCING KERNEL HILBERT SPACES [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2012
In this paper, information energy metric (IEM) is obtained by similarity computing for high-dimensional samples in a reproducing kernel Hilbert space (RKHS).
Songhua Liu, Junying Zhang, Caiying Ding
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
core   +2 more sources

Computational algorithm for solving drug pharmacokinetic model under uncertainty with nonsingular kernel type Caputo-Fabrizio fractional derivative

open access: yesAlexandria Engineering Journal, 2021
This paper proposes an advanced numerical-analytical approach for handling a class of fuzzy fractional differential equations involving Caputo-Fabrizio derivative with a non-singular kernel arsing in the medical sector. The solution methodology relies on
Nesrine Harrouche   +3 more
doaj   +1 more source

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