A Daniell-Stone Approach to the General Denjoy Integral

DOI10.2307/2159781zbMath0746.26004OpenAlexW4253219330MaRDI QIDQ3987958

Cornel Leinenkugel

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159781

zbMATH Keywords

Denjoy integrable functionsgeneralized absolutely continuous functionsACG-functionDaniell-Stone integrationdiagonal differentiabilitygeneralized Daniell integral

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Denjoy and Perron integrals, other special integrals (26A39) Absolutely continuous real functions in one variable (26A46) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Cites Work

• Integraltheorie ohne Verbandspostulat
• Daniell-Stone integration without the lattice condition
• Differentiation of real functions
• Unnamed Item

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