Results 91 to 100 of about 13,358 (271)

A Discretized Tikhonov Regularization Method for a Fractional Backward Heat Conduction Problem

open access: yesAbstract and Applied Analysis, 2014
We propose a numerical reconstruction method for solving a time-fractional backward heat conduction problem. Based on the idea of reproducing kernel approximation, we reconstruct the unknown initial heat distribution from a finite set of scattered ...
Zhi-Liang Deng, Xiao-Mei Yang
doaj   +1 more source

Reproducing Kernel Hilbert Space and Coalescence Hidden-variable Fractal Interpolation Functions

open access: yesDemonstratio Mathematica, 2019
Reproducing Kernel Hilbert Spaces (RKHS) and their kernel are important tools which have been found to be incredibly useful in many areas like machine learning, complex analysis, probability theory, group representation theory and the theory of integral ...
Prasad Srijanani Anurag
doaj   +1 more source

Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations

open access: yesAbstract and Applied Analysis, 2012
On the basis of reproducing kernel Hilbert spaces theory, an iterative algorithm for solving some nonlinear differential-difference equations (NDDEs) is presented.
Reza Mokhtari   +2 more
doaj   +1 more source

Picard-Reproducing Kernel Hilbert Space Method for Solving Generalized Singular Nonlinear Lane-Emden Type Equations

open access: yes, 2015
An iterative method is discussed with respect to its effectiveness and capability of solving singular nonlinear Lane-Emden type equations using reproducing kernel Hilbert space method combined with the Picard iteration.
B. Azarnavid, F. Parvaneh, S. Abbasbandy
semanticscholar   +1 more source

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

Learnability in Hilbert Spaces with Reproducing Kernels

open access: yesJournal of Complexity, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Uniform Distribution, Discrepancy, and Reproducing Kernel Hilbert Spaces

open access: yesJournal of Complexity, 2001
The results are related with numerical integration of functions in a reproducing kernel Hilbert space (RKHS). The authors define a notion of uniform distribution and discrepancy of sequences in an abstract set \(E\) in terms of a RKHS of functions on \(E\). In the case of the finite-dimensional unit cube the discrepancies introduced are closely related
Amstler, Clemens, Zinterhof, Peter
openaire   +2 more sources

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

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