The generalized Riemann, simple, dominated and improper integrals

DOI10.1016/0021-9045(83)90127-2zbMath0522.26007OpenAlexW2079392665MaRDI QIDQ1055902

Oved Shisha, James T. Lewis

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-9045(83)90127-2

zbMATH Keywords

Kurzweil-Henstock integralgeneralized Riemann integralimproper Riemann integraldominated integralsimple integral

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (4)

On dominant integrability ⋮ The genesis of the generalized Riemann integral ⋮ Proof of power series and Laurent expansions of complex differentiable functions without use of Cauchy's integral formula of Cauchy's integral theorem ⋮ A new approach to integration

Cites Work

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• The dominated integral
• Numerical quadrature of improper integrals and the dominated integral
• Improper integrals, simple integrals, and numerical quadrature
• Generalized ordinary differential equations and continuous dependence on a parameter
• Definitions of Riemann Type of the Variational Integrals
• An integral related to numerical integration
• A Riemann-Type Integral of Lebesgue Power
• A Riemann-type integral that includes Lebesgue-Stieltjes, Bochner and stochastic integrals
• A Unified Theory of Integration

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