Results 1 to 10 of about 1,276,641 (352)

New reproducing kernel functions in the reproducing kernel Sobolev spaces

open access: yesAIMS Mathematics, 2020
In this paper we construct some new reproducing kernel functions in the reproducing kernel Sobolev space. These functions are new in the literature. We can solve many problems by these functions in the reproducing kernel Sobolev spaces.
Ali Akgül   +2 more
doaj   +4 more sources

Solving Two-Sided Fractional Super-Diffusive Partial Differential Equations with Variable Coefficients in a Class of New Reproducing Kernel Spaces

open access: yesFractal and Fractional, 2022
Fractional-order calculus has become a useful mathematical framework to describe the complex super-diffusive process; however, numerical solutions of the two-sided space-fractional super-diffusive model with variable coefficients are difficult to obtain,
Zhiyuan Li   +3 more
doaj   +2 more sources

Calculation of the Reproducing Kernel on the Reproducing Kernel Space with Weighted Integral [PDF]

open access: yesJournal of Applied Mathematics, 2012
We provide a new definition for reproducing kernel space with weighted integral and present a method to construct and calculate the reproducing kernel for the space. The new reproducing kernel space is an enlarged reproducing kernel space, which contains
Er Gao, Songhe Song, Xinjian Zhang
doaj   +4 more sources

Reproducing Kernels and Variable Bandwidth [PDF]

open access: yesJournal 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
doaj   +3 more sources

Generalized Mercer Kernels and Reproducing Kernel Banach Spaces [PDF]

open access: greenMemoirs of the American Mathematical Society, 2019
128 pages and 4 ...
Yuesheng Xu, Qi Ye
openalex   +3 more sources

Reproducing kernel Hilbert space method based on reproducing kernel functions for investigating boundary layer flow of a Powell–Eyring non-Newtonian fluid

open access: yesJournal of Taibah University for Science, 2019
In this work, the boundary layer flow of a Powell–Eyring non-Newtonian fluid over a stretching sheet has been investigated by a reproducing kernel method. Reproducing kernel functions are used to obtain the solutions.
Ali Akgül
doaj   +2 more sources

Reproducing Kernel Hilbert Spaces [PDF]

open access: yesHigh-Dimensional Statistics, 2019
This chapter introduces an elegant mathematical theory that has been developed for nonparametric regression with penalized estimation.
Ronald Christensen
semanticscholar   +3 more sources

Factorizations of Kernels and Reproducing Kernel Hilbert Spaces [PDF]

open access: greenIntegral Equations and Operator Theory, 2016
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 ...
Rani Kumari   +3 more
openalex   +5 more sources

Learning Dynamical Systems via Koopman Operator Regression in Reproducing Kernel Hilbert Spaces [PDF]

open access: yesNeural Information Processing Systems, 2022
We study a class of dynamical systems modelled as Markov chains that admit an invariant distribution via the corresponding transfer, or Koopman, operator.
V. Kostić   +5 more
semanticscholar   +1 more source

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