A wide Perron integral

DOI10.1017/S0004972700010108zbMath0587.26006OpenAlexW2138974111MaRDI QIDQ3714292

D. N. Sarkhel

Publication date: 1986

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700010108

zbMATH Keywords

integral of Perron typeanalogue of the Macinkiewicz theoremgeneralization of the classical Lebesgue decomposition theoremproximally Cesàro-continuous integrals

Mathematics Subject Classification ID

Denjoy and Perron integrals, other special integrals (26A39)

Cites Work

• The approximately continuous Perron integral
• Peano derivatives and general integrals
• The generalized Perron integrals
• Path Derivatives: A Unified View of Certain Generalized Derivatives
• Selective derivates
• A Criterion for Perron Integrability
• The Cesàro-Perron Integral
• The Derivates and Approximate Derivates of Measurable Functions
• An integral of the Denjoy type
• An integral of the Denjoy type, II
• On a Descriptive Definition of Cesàro-Perron Integrals
• On the Integrals of Perron Type
• The Cesàro-Perron Scale of Integration
• Mean-Continuous Integrals
• Some Properties of C _λ -Continuous Functions
• On the Compatibility of the Approximate Perron and the Cesaro-Perron Integrals
• On Generalized Derivatives and Cesáro-Denjoy Integrals
• A Descriptive Definition of Cesàro-Perron Integrals

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