Properties of the Riemann-Lebesgue integrability in the non-additive case

DOI10.1007/s12215-019-00419-yzbMath1442.28011arXiv1905.03993OpenAlexW3100545461MaRDI QIDQ777199

Anna Rita Sambucini, Alina Iosif, Anca Croitoru, Domenico Candeloro, Alina Cristiana Gavriluţ

Publication date: 3 July 2020

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.03993

zbMATH Keywords

monotone measureBirkhoff simple integralGould integralnon-negative set functionRiemann-Lebesgue integral

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (5)

Egoroff's theorems for random sets on non-additive measure spaces ⋮ Life and work of Domenico Candeloro: an appreciation ⋮ Multi-integrals of finite variation ⋮ Some remarks on Vainikko integral operators in BV type spaces ⋮ A note on convergence results for varying interval valued multisubmeasures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gauge integrals and selections of weakly compact valued multifunctions
• On the integration of Riemann-measurable vector-valued functions
• Relations among gauge and Pettis integrals for \(cwk(X)\)-valued multifunctions
• An extension of the Birkhoff integrability for multifunctions
• Henstock multivalued integrability in Banach lattices with respect to pointwise non atomic measures
• On Birkhoff integrability for scalar functions and vector measures
• The Henstock and McShane integrals of vector-valued functions
• When do McShane and Pettis integrals coincide?
• The Birkhoff integral and the property of Bourgain
• Birkhoff integral for multi-valued functions
• A definition of integrals
• A fuzzy Gould type integral
• The Gould integral in Banach lattices
• Comparison between Birkhoff integral and Gould integral
• Atomicity related to non-additive integrability
• The Aumann-Gould integral
• A convergence theorem for the Birkhoff integral
• A Birkhoff type integral and the Bourgain property in a locally convex space
• Variational Henstock integrability of Banach space valued functions
• Set-valued Kurzweil-Henstock Integral in Riesz spaces
• Another Gould Type Integral with Respect to a Multisubmeasure
• The general gould type integral with respect to a multisubmeasure
• Pointwise limits of Birkhoff integrable functions
• SOME EXAMPLES IN VECTOR INTEGRATION
• On integrability in F-spaces
• A multivalued version of the Radon-Nikodym theorem, via the single-valued Gould integral
• The McShane, PU and Henstock integrals of Banach valued functions
• Use and Applications of Non-Additive Measures and Integrals
• A gould type integral with respect to a multisubmeasure
• Integration Over Vector-Valued Measures
• Comparison between some norm and order gauge integrals in Banach lattices

This page was built for publication: Properties of the Riemann-Lebesgue integrability in the non-additive case