Results 111 to 120 of about 11,485 (217)

n-Best kernel approximation in reproducing kernel Hilbert spaces

open access: yesApplied 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.
openaire   +2 more sources

Berezin number inequalities for operators

open access: yesConcrete Operators, 2019
The Berezin transform à of an operator A, acting on the reproducing kernel Hilbert space ℋ = ℋ (Ω) over some (non-empty) set Ω, is defined by Ã(λ) = 〉Aǩ λ, ǩ λ〈 (λ ∈ Ω), where k⌢λ=kλ‖kλ‖${\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\frown ...
Bakherad Mojtaba, Garayev Mubariz T.
doaj   +1 more source

Application of Reproducing Kernel Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations

open access: yesAbstract and Applied Analysis, 2012
This paper investigates the numerical solution of nonlinear Fredholm-Volterra integro-differential equations using reproducing kernel Hilbert space method. The solution 𝑢(𝑥) is represented in the form of series in the reproducing kernel space.
Omar Abu Arqub   +2 more
doaj   +1 more source

Learning Rate of Regularized Regression Associated with Zonal Translation Networks

open access: yesMathematics
We give a systematic investigation on the reproducing property of the zonal translation network and apply this property to kernel regularized regression.
Xuexue Ran, Baohuai Sheng, Shuhua Wang
doaj   +1 more source

Simplified iterative reproducing kernel method for handling time-fractional BVPs with error estimation

open access: yesAin Shams Engineering Journal, 2018
In this article, we introduce a novel numerical scheme, the iterative reproducing kernel method (IRKM), for providing numerical approximate solutions of a certain class of time-fractional boundary value problem within favorable aspects of the reproducing
Mohammed Al-Smadi
doaj  

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