Numerical quadrature of improper integrals and the dominated integral

DOI10.1016/0021-9045(77)90022-3zbMath0358.65015OpenAlexW2072545138MaRDI QIDQ1238395

Charles F. Osgood, Oved Shisha

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0021-9045(77)90022-3

Mathematics Subject Classification ID

Numerical integration (65D30)

Related Items

Obtaining a function of bounded coarse variation by a change of variable, On dominant integrability, Proof of power series and Laurent expansions of complex differentiable functions without use of Cauchy's integral formula of Cauchy's integral theorem, Composite quadratures for functions of dominated variation, Cautious romberg extrapolation, The dominated integral, A new approach to integration, The Euler-MacLaurin summation formula, the sampling theorem, and approximate integration over the real axis, Riemann sums and improper integrals of step functions related to the prime number theorem, The generalized Riemann, simple, dominated and improper integrals

Cites Work

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• The dominated integral
• Improper integrals, simple integrals, and numerical quadrature
• An integral related to numerical integration
• Numerical Quadrature in the Presence of a Singularity
• Ignoring the Singularity in Approximate Integration
• Gaussian Integration in the Presence of a Singularity
• On Ignoring the Singularity in Numerical Quadrature
• Error Bounds for Compound Quadrature of Weakly Singular Integrals