Results 21 to 30 of about 13,358 (271)
On functional reproducing kernels
Open Mathematics, 2023 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.
Zhou Weiqi
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Interpreting the dual Riccati equation through the LQ reproducing kernel
Comptes Rendus. Mathématique, 2021 In this study, we provide an interpretation of the dual differential Riccati equation of Linear-Quadratic (LQ) optimal control problems. Adopting a novel viewpoint, we show that LQ optimal control can be seen as a regression problem over the space of ...
Aubin-Frankowski, Pierre-Cyril
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Advances in Mathematical Physics, 2014 A new algorithm called multistep reproducing kernel Hilbert space method is represented to solve nonlinear oscillator’s models. The proposed scheme is a modification of the reproducing kernel Hilbert space method, which will increase the intervals of ...
Banan Maayah +3 more
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A Novel Method for Solutions of Fourth-Order Fractional Boundary Value Problems
Fractal and Fractional, 2019 In this paper, we find the solutions of fourth order fractional boundary value problems by using the reproducing kernel Hilbert space method. Firstly, the reproducing kernel Hilbert space method is introduced and then the method is applied to this kind ...
Ali Akgül, Esra Karatas Akgül
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A method for approximate missing data from data error measured with l norm [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2021 We briefly review some recent work on hypercircle inequality for partially corrupted data when the data error is measured with l norm. The aim of this paper is to present the method for approximate missing data in the use of midpoint algorithm and
Benjawan Rodjanadid, Kannika Khompungson
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Relative reproducing kernel Hilbert spaces [PDF]
Proceedings of the American Mathematical Society, 2014 Summary: We introduce a reproducing kernel structure for Hilbert spaces of functions where differences of point evaluations are bounded. The associated reproducing kernels are characterized in terms of conditionally negative functions.
Alpay, Daniel +2 more
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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
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Reproducing Kernel Hilbert Spaces [PDF]
, 2019 This chapter introduces an elegant mathematical theory that has been developed for nonparametric regression with penalized estimation.
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n-Best kernel approximation in reproducing kernel Hilbert spaces
Applied and Computational Harmonic Analysis, 2022 By making a seminal use of the maximum modulus principle of holomorphic functions we prove existence of $n$-best kernel approximation for a wide class of reproducing kernel Hilbert spaces of holomorphic functions in the unit disc, and for the corresponding class of Bochner type spaces of stochastic processes.
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Reproducing Kernels and Variable Bandwidth
Journal of Function Spaces and Applications, 2012 We show that a modulation space of type () is a reproducing kernel Hilbert space (RKHS). In particular, we explore the special cases of variable bandwidth spaces Aceska and Feichtinger (2011) with a suitably chosen weight to provide strong enough decay ...
R. Aceska, H. G. Feichtinger
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