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Title: A reproducing kernel Hilbert space constructive approximation for integral equations with Toeplitz and Hankel kernels
Author: Castro, L.P.
Silva, A.S.
Saitoh, S.
Keywords: Integral equation
Best approximation
Positive definite matrix
Moore-Penrose generalized inverse
Hilbert space
Reproducing kernel
Toeplitz kernel
Hankel kernel
Aveiro discretization method
Issue Date: 2014
Publisher: American Romanian Academy of Arts and Sciences
Abstract: A reproducing kernel Hilbert space approach is proposed to study a class of integral equations with Toeplitz and Hankel kernel functions. The existence property and approximate representations of the solutions are given by constructing appropriate auxiliary operators and positive definite matrices within a reproducing kernel Hilbert space framework. Moreover, conditions for the boundedness and uniqueness of the solution are also obtained.
Peer review: yes
DOI: 10.14510%2Flm-ns.v34i1.1205
ISSN: 2182-567X
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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