Results 11 to 20 of about 3,282,070 (234)
Reproducing kernel functions for the generalized Kuramoto-Sivashinsky equation
ITM Web of Conferences, 2018 Reproducing kernel functions are obtained for the solution of generalized Kuramoto–Sivashinsky (GKS) equation in this paper. These reproducing kernel functions are valuable in the reproducing kernel Hilbert space method.
Akgül Ali +3 more
doaj +2 more sources
Reproducing kernel functions for linear tenth-order boundary value problems
ITM Web of Conferences, 2018 Higher order differential equations have always been an onerous problem to investigate for the mathematicians and engineers. Different numerical methods were applied to get numerical approximations of such problems.
Akgül Ali +3 more
doaj +2 more sources
Enriched Reproducing Kernel Approximation: Reproducing Functions with Discontinuous Derivatives [PDF]
, 2006 In this paper we propose a new approximation technique within the context of meshless methods able to reproduce functions with discontinuous derivatives. This approach involves some concepts of the reproducing kernel particle method (RKPM), which have been extended in order to reproduce functions with discontinuous derivatives.
Joyot, Pierre +2 more
openaire +4 more sources
Reproducing Kernel Hilbert Space vs. Frame Estimates
Mathematics, 2015 We consider conditions on a given system F of vectors in Hilbert space H, forming a frame, which turn H into a reproducing kernel Hilbert space. It is assumed that the vectors in F are functions on some set Ω .
Palle E. T. Jorgensen, Myung-Sin Song
doaj +2 more sources
Some reproducing kernel spaces of continuous functions [PDF]
Journal of Mathematical Analysis and Applications, 1991 The author proves that a complex matrix valued symmetric \(C^ 3\)- function \(K:(a,b)\times(a,b)\to{\mathfrak M}(n,\mathbb{C})\) is the reproducing kernel of a Krejn space of continuous functions.
Alpay, Daniel
openaire +4 more sources
Reproducing Kernel Hilbert Spaces of Polyanalytic Functions of Infinite Order [PDF]
, 2022 In this paper we introduce reproducing kernel Hilbert spaces of polyanalytic functions of infinite order. First we study in details the counterpart of the Fock space and related results in this framework.
Alpay, Daniel +3 more
core +3 more sources
New reproducing kernel functions in the reproducing kernel Sobolev spaces
AIMS Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akgul, Ali +2 more
openaire +3 more sources
Reproducing Kernel Hilbert Spaces of Smooth Fractal Interpolation Functions
Fractal and Fractional, 2023 The theory of reproducing kernel Hilbert spaces (RKHSs) has been developed into a powerful tool in mathematics and has lots of applications in many fields, especially in kernel machine learning.
Dah-Chin Luor, Liang-Yu Hsieh
doaj +1 more source
Проблемы анализа, 2021 We consider a reproducing kernel radial Hilbert space of entire functions and prove the equivalence of several sufficient conditions for the existence of unconditional bases of reproducing kernels in such spaces.
K. P. Isaev, R. S. Yulmukhametov
doaj +1 more source
On functional reproducing kernels
Open Mathematics, 2023 Abstract We show that even if a Hilbert space does not admit a reproducing kernel, there could still be a kernel function that realizes the Riesz representation map. Constructions in spaces that are the Fourier transform of weighted
openaire +3 more sources