Eigenvalues of integral operators with positive definite kernels satisfying integrated Hölder conditions over metric compacta

DOI10.1016/0021-9045(90)90112-4zbMath0723.41030OpenAlexW2012233032MaRDI QIDQ757774

Thomas Kühn, Fernando Cobos

Publication date: 1990

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(90)90112-4

zbMATH Keywords

Hölder continuityentropy numbers

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Integral operators (45P05) Approximation by operators (in particular, by integral operators) (41A35) Eigenvalue problems for integral equations (45C05)

Related Items (7)

Eigenvalue Sequences of Positive Integral Operators and Moduli of Smoothness ⋮ Eigenvalue and singular value estimates for integral operators: a unifying approach ⋮ Reproducing Properties of Holomorphic Kernels on Balls of ℂ^q ⋮ Integral operators on the sphere generated by positive definite smooth kernels ⋮ Universal kernels which are continuous on the diagonal ⋮ Eigenvalue decay of positive integral operators on the sphere ⋮ Fundamental Sets of Functions on Locally Compact Abelian Groups

Cites Work

• Eigenvalues of integral operators with smooth positive definite kernels
• s-numbers of integral operators with Hölder continuous kernels over metric compacta
• Eigen-values of Lipschitz kernels
• Differentiable positive definite kernels and Lipschitz continuity
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