Results 181 to 190 of about 11,485 (217)

Approximating the Caputo Fractional Derivative through the Mittag-Leffler Reproducing Kernel Hilbert Space and the Kernelized Adams-Bashforth-Moulton Method

SIAM Journal on Numerical Analysis, 2017
This paper introduces techniques for the estimation of solutions to fractional order differential equations (FODEs) and the approximation of a function's Caputo fractional derivative.
Joel A. Rosenfeld, W. Dixon
semanticscholar   +1 more source

On Reproducing Kernel Hilbert Spaces of Polynomials

Mathematische Nachrichten, 1997
AbstractCertain Hilbert spaces of polynomials, called Szegö spaces [11], are studied. A transformation, called Hilbert traneformation, is constructed for every polynomial associatted with a Szegö space. An orthogonal set is found in a Szegö space which determines the norm of the space. A matrix factorization theory is obtained for defining polynomials.
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Reproducing Kernel Hilbert Spaces and Discrimination

2015
In this chapter, it is examined to what extent RKHS’s allow one to discriminate between probability laws, that is determine their equivalence or singularity.
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Pasting Reproducing Kernel Hilbert Spaces

2017
The aim of this article is to find the necessary and sufficient condition for the mapping $$\displaystyle{H_{K}(E) \ni f\mapsto (\,f\vert E_{1},f\vert E_{2}) \in H_{K\vert E_{1}\times E_{2}}(E_{1}) \oplus H_{K\vert E_{2}\times E_{2}}(E_{2})}$$ to be isomorphic, where K is a positive definite function on E = E1 + E2.
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Rainfall-runoff modeling through regression in the reproducing kernel Hilbert space algorithm

Journal of Hydrology, 2020
M. Safari, Shervin Rahimzadeh Arashloo, A. Danandeh Mehr   +2 more
semanticscholar   +1 more source

The Functions of a Reproducing Kernel Hilbert Space

2015
The functions of an RKHS, that is, the signals one works with, may not be easy to handle per se. In those cases, it may sometimes be useful to know that they belong to spaces in which computation may be easier, such as L2 spaces. This chapter deals with such questions.
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Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method

Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2015
O. A. Arqub, M. Al‐Smadi, S. Momani, T. Hayat   +3 more
semanticscholar   +1 more source

Reproducing Kernel Hilbert Spaces: The Rudiments

2015
This chapter provides and illustrates, following the table of contents, the basic tools of the theory of reproducing kernel Hilbert spaces.
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Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense

Chaos, Solitons & Fractals, 2019
Omar Abu Arqub, Banan Maayah
semanticscholar   +1 more source

Reproducing Kernel Hilbert Space

2022
openaire   +1 more source