Asymptotics of singular values of fractional integral operators

DOI10.1088/0266-5611/10/4/013zbMath0808.45001OpenAlexW2067846411MaRDI QIDQ4307802

Rudolf Gorenflo, Tuan, V. K.

Publication date: 1 November 1994

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/10/4/013

zbMATH Keywords

inverse problemfractional integral operatordegree of ill-posednessasymptotic distribution of the singular values

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Asymptotics of solutions to integral equations (45M05) Integral operators (45P05) Eigenvalue problems for integral equations (45C05)

Related Items (10)

A new result in the singular value asymptotics of integration operators with weights ⋮ Sharp bounds for singular values of fractional integral operators ⋮ Analytical and numerical studies on the influence of multiplication operators for the ill-posedness of inverse problems ⋮ The degree of ill-posedness of composite linear ill-posed problems with focus on the impact of the non-compact Hausdorff moment operator ⋮ A note on the degree of ill-posedness for mixed differentiation on the \(d\)-dimensional unit cube ⋮ On the dependence of asymptotics ofs-numbers of fractional integration operators on weight functions ⋮ Operator theoretic treatment of linear Abel integral equations of first kind ⋮ asymptottcs of singular values of volterra integral operators ⋮ Stability rates for linear ill-posed problems with compact and non-compact operators ⋮ Optimal indirect estimation for linear inverse problems with discretely sampled functional data

This page was built for publication: Asymptotics of singular values of fractional integral operators