6533b82cfe1ef96bd128ebb4
RESEARCH PRODUCT
The McShane, PU and Henstock integrals of Banach valued functions
Valeria MarraffaL. Di Piazzasubject
McShanePettis integralPure mathematicsIntegrable systemGeneral MathematicsMathematical analysisMathematics::Classical Analysis and ODEsVariational integralsPU and Henstock integralPettiSettore MAT/05 - Analisi MatematicaOrdinary differential equationConvergence (routing)Vector-valued functionMultiplierMathematicsdescription
Some relationships between the vector valued Henstock and McShane integrals are investigated. An integral for vector valued functions, defined by means of partitions of the unity (the PU-integral) is studied. In particular it is shown that a vector valued function is McShane integrable if and only if it is both Pettis and PU-integrable. Convergence theorems for the Henstock variational and the PU integrals are stated. The families of multipliers for the Henstock and the Henstock variational integrals of vector valued functions are characterized.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-09-01 | Czechoslovak Mathematical Journal |