Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/16637
Título: | A reproducing kernel Hilbert space constructive approximation for integral equations with Toeplitz and Hankel kernels |
Autor: | Castro, L.P. Silva, A.S. Saitoh, S. |
Palavras-chave: | Integral equation Best approximation Positive definite matrix Moore-Penrose generalized inverse Hilbert space Reproducing kernel Convolution Toeplitz kernel Hankel kernel Aveiro discretization method |
Data: | 2014 |
Editora: | American Romanian Academy of Arts and Sciences |
Resumo: | 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 |
URI: | http://hdl.handle.net/10773/16637 |
DOI: | 10.14510%2Flm-ns.v34i1.1205 |
ISSN: | 2182-567X |
Aparece nas coleções: | CIDMA - Artigos FAAG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
2014CaSaSiPostPrintLibMath.pdf | Accepted Manuscript | 176.36 kB | Adobe PDF |
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