The new extensions of the Henstock-Kurzweil and the McShane integrals of vector-valued functions

DOI10.1007/s00009-018-1067-2zbMath1387.28014OpenAlexW2782584324MaRDI QIDQ1744162

Sokol Bush Kaliaj

Publication date: 16 April 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1067-2

zbMATH Keywords

McShane integralBanach spaceHenstock-Kurzweil integral\(m\)-dimensional Euclidean spaceHake-Henstock-Kurzweil integralHake-McShane integral

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10)

Related Items (4)

Dunford-Henstock-Kurzweil and Dunford-McShane integrals of vector-valued functions defined on \(m\)-dimensional bounded sets ⋮ Multifunctions determined by integrable functions ⋮ The Bochner-convolution integral for generalized functional-valued functions of discrete-time normal martingales ⋮ New extension of the variational McShane integral of vector-valued functions

Cites Work

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• On the Strong McShane Integral of Functions with Values in a Banach Space
• The Denjoy extension of the Bochner, Pettis, and Dunford integrals
• A characterization of variationally McShane integrable Banach-space valued functions

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