A new approach to integration

DOI10.1016/0022-247X(86)90083-1zbMath0597.26012OpenAlexW2076170194MaRDI QIDQ5966454

Oved Shisha, George Cross

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(86)90083-1

zbMATH Keywords

restricted Denjoy integraldefinitions of Perron and Lebesgue integralsknown facts about the Henstock-Kurzweil- McShane Riemannknown facts about the Henstock-Kurzweil-McShane Riemann definitions of Perron and Lebesgue integrals

Mathematics Subject Classification ID

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to real functions (26-01) 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 ⋮ Existence, uniqueness and well-posedness results for relation theoretic coupled fixed points problem using \(\mathbf{C}\)-class function with some consequences and an application

Cites Work

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• The generalized Riemann, simple, dominated and improper integrals
• 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
• An integral related to numerical integration
• A Riemann-Type Integral of Lebesgue Power
• A Proof That Henstock's Integral Includes Lebesgue's
• A Unified Theory of Integration

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