Results 1 to 10 of about 6,242 (165)

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

Journal 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
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Reproducing Kernels and Variable Bandwidth [PDF]

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
doaj   +3 more sources

Exploring novel semi-inner product reproducing Kernels in Banach space for robust Kernel methods. [PDF]

PLoS ONE
Kernel 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 based on reproducing kernel functions for investigating boundary layer flow of a Powell–Eyring non-Newtonian fluid

Journal 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
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On Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps [PDF]

Sahand Communications in Mathematical Analysis, 2023
In this paper, a special class of relative reproducing kernel Banach spaces a semi-inner product is studied. We extend the concept of relative reproducing kernel Hilbert spaces to Banach spaces. We present these relative reproducing kernel Banach spaces  
Mohammadreza Foroutan
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Some Properties of Reproducing Kernel Banach and Hilbert Spaces [PDF]

Sahand Communications in Mathematical Analysis, 2018
This paper is devoted to the study of reproducing kernel Hilbert spaces. We focus on multipliers of reproducing kernel Banach and Hilbert spaces. In particular, we try to extend this concept and prove some related theorems.
Saeed Hashemi Sababe, Ali Ebadian
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The Polyanalytic Reproducing Kernels [PDF]

Complex Analysis and Operator Theory, 2019
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Hicham Hachadi, El Hassan Youssfi
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Solving Two-Sided Fractional Super-Diffusive Partial Differential Equations with Variable Coefficients in a Class of New Reproducing Kernel Spaces

Fractal 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, Qintong Chen, Yulan Wang, Xiaoyu Li   +3 more
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Factorizations of Kernels and Reproducing Kernel Hilbert Spaces [PDF]

Integral 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, Sarkar, Jaydeb, Sarkar, Srijan, Timotin, Dan   +3 more
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A nice asymptotic reproducing kernel

Cubo, 2023
We extend the assertion of Problem 12340 in Amer. Math. Monthly 129 (2022), 686, by deriving some additional asymptotic behaviour of that special kernel.
Raymond Mortini
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