A reproducing kernel Hilbert space constructive approximation for a special class of integral equations

DOI10.14510/lm-ns.v34i1.1205zbMath1330.45005OpenAlexW2560425262MaRDI QIDQ3456151

Anabela S. Silva, Luis Filipe Pinheiro de Castro, Saburou Saitoh

Publication date: 11 December 2015

Published in: LIBERTAS MATHEMATICA (new series) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14510/lm-ns.v34i1.1205

zbMATH Keywords

integral equationconvolutionHilbert spacebest approximationreproducing kernelpositive definite matrixMoore-Penrose generalized inverseToeplitz kernelHankel kernelAveiro discretization method

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Theoretical approximation of solutions to integral equations (45L05)

Related Items (3)

Norm inequalities for Mellin convolutions and their applications ⋮ Approximate solution for integral equations involving linear Toeplitz plus Hankel parts ⋮ Solutions of Tikhonov functional equations and applications to multiplication operators on Szegő spaces

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