On the integration of Riemann-measurable vector-valued functions

DOI10.1007/s00605-016-0923-zzbMath1379.26013OpenAlexW2407352061MaRDI QIDQ515631

Diana Caponetti, Kirill Naralenkov, Valeria Marraffa

Publication date: 16 March 2017

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-016-0923-z

zbMATH Keywords

bounded variationLebesgue measurable gauge\(ACG_{\ast}\) functions\(ACG_{\delta }^{\ast}\) functionsalmost uniform convergenceBirkhoff integralsHenstock integralsMcShane integralsPettis integralsRiemann-measurable function

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (10)

Some new results on integration for multifunction ⋮ Multi-integrals of finite variation ⋮ Relations among gauge and Pettis integrals for \(cwk(X)\)-valued multifunctions ⋮ A vector Girsanov result and its applications to conditional measures via the Birkhoff integrability ⋮ Integration of multifunctions with closed convex values in arbitrary Banach spaces ⋮ Multifunctions determined by integrable functions ⋮ Variational measure with respect to measurable gauges ⋮ A new fuzzy McShane integrability ⋮ A note on convergence results for varying interval valued multisubmeasures ⋮ Properties of the Riemann-Lebesgue integrability in the non-additive case

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