Reproducing Kernel Hilbert Space vs. Frame Estimates [PDF]
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
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Exploring novel semi-inner product reproducing Kernels in Banach space for robust Kernel methods. [PDF]
PLoS ONEKernel methods are widely applied across various domains; however, structural limitations of reproducing kernels in Hilbert spaces pose significant challenges.
Yi Ding, Ying Zhao, Yan Pei
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Reproducing kernel Hilbert space method for the solutions of generalized Kuramoto–Sivashinsky equation [PDF]
Journal 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
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Iterative Multistep Reproducing Kernel Hilbert Space Method for Solving Strongly Nonlinear Oscillators [PDF]
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 Characterization for reproducing kernel Hilbert spaces [PDF]
Journal of Mathematical Analysis and Applications, 1974 AbstractLet G(t, s) be the Green's functions associated with N, a differential operator restricted to certain boundary conditions. Define (u, v)N = (Nu, v)L2. It is shown that the reproducing kernel Hilbert space generated by G is the same as the Hilbert-space completion with respect to ∥ · ∥N of the set of real valued functions which are in C2n and ...
Grethel, Robert J.
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Operator inequalities in reproducing kernel Hilbert spaces [PDF]
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2022 Summary: In this paper, by using some classical Mulholland type inequality, Berezin symbols and reproducing kernel technique, we prove the power inequalities for the Berezin number \(\operatorname{ber}(A)\) for some self-adjoint operators \(A\) on \({H}(\Omega)\).
Yamancı, Ulaş
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A Theorem on Reproducing Kernel Hilbert Spaces of Pairs [PDF]
Rocky Mountain Journal of Mathematics, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alpay, Daniel, Daniel Alpay
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Reproducing kernel Hilbert spaces [PDF]
, 2011 Hinter der Konstruktion von Hilberträumen mit reproduzierendem Kern verbirgt sich eine Theorie von Bijektionen bzw. Transformationen, die einen positiv definiten Kern mit einem Hilbertraum von Funktionen verbindet. Das Ziel dieser Diplomarbeit ist es einen Überblick über die Theorie der Hilberträume mit reproduzierendem Kern und ihrer Anwendungen zu ...
Bartokos, Stephanie
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Numerical technique for solving physical models using reproducing kernel Hilbert space method with purely integral conditions [PDF]
Boundary Value ProblemsIn this work, we investigate the Klein–Gordon equation, a physical problem, using the reproducing kernel Hilbert space method (RKHSM). The analytical solution is expressed as a series within the reproducing kernel Hilbert space (RKHS).
Hadjer Zerouali +6 more
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Application of reproducing kernel Hilbert space method for solving second-order fuzzy Volterra integro-differential equations [PDF]
Advances in Difference Equations, 2018 In this article, we propose a new method that determines an efficient numerical procedure for solving second-order fuzzy Volterra integro-differential equations in a Hilbert space.
Ghaleb N. Gumah +3 more
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