Complexity of Fredholm equations of the second kind with kernels from anisotropic classes of differentiable functions

DOI10.1007/BF02390616zbMath0941.65138MaRDI QIDQ1962341

Yanyan Li

Publication date: 20 July 2000

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

complexityapproximate solutionFredholm equationsperiodic kernels

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral operators (45P05) Integral operators (47G10) Fredholm integral equations (45B05) Complexity and performance of numerical algorithms (65Y20) Theoretical approximation of solutions to integral equations (45L05)

Cites Work

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• Hyperbolic cross and the complexity of the approximate solution of Fredholm integral equations of the second kind with differentiable kernels
• Simultaneous approximation of functions and their (\(\psi\) ,\(\beta\) )- derivatives by Fourier sums
• Optimal methods of prescribing information for the solution of integral equations with differentiable kernels
• Complexity of the problem of finding the solutions of Fredholm equations of the second kind with smooth kernels. I
• Information complexity of equations of the second kind with compact operators in Hilbert space
• Optimization of algorithms for the approximate solution of Volterra equations with infinitely differentiable kernels

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