Quadrature formulas of quasi-interpolation type for singular integrals with Hilbert kernel

DOI10.1006/jath.1998.3166zbMath0906.41019OpenAlexW2090301635MaRDI QIDQ1266125

Jinyuan Du

Publication date: 27 October 1998

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

Full work available at URL: https://semanticscholar.org/paper/89581df8218b9b4937dd29ee6f307e44366cae5a

zbMATH Keywords

trigonometric interpolationsingular integrals with Hilbert kernel

Mathematics Subject Classification ID

Approximate quadratures (41A55)

Related Items (9)

Algebraic hyperbolic spline quasi-interpolants and applications ⋮ The region of analytic functions for the convergence of trigonometric interpolation ⋮ Generalized spline quasi-interpolants and applications to numerical analysis ⋮ On trigonometric and paratrigonometric Hermite interpolation ⋮ On the generalizations of Kalandia’s Lemma ⋮ On the collocation methods for singular integral equations with Hilbert kernel ⋮ Numerical stability of circular Hilbert transform and its application to signal decomposition ⋮ On convergence for trigonometric interpolation of analytic function ⋮ On convergence of interpolation to analytic functions

Cites Work

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• Numerical evaluation of integrals of periodic functions with Cauchy and Poisson type kernels
• A natural interpolation formula for the numerical solution of singular integral equations with Hilbert kernel
• A Generalization of the Cauchy Principal Value
• Numerical Quadrature of Periodic Singular Integral Equations
• Peano derivatives and singular integrals of arbitrary order

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