6533b85bfe1ef96bd12bad4d

RESEARCH PRODUCT

On the integration of Riemann-measurable vector-valued functions

K. M. NaralenkovValeria MarraffaDiana Caponetti

subject

Dominated convergence theoremRiemann-measurable functionPure mathematicsMeasurable functionGeneral Mathematics02 engineering and technologyLebesgue measurable gaugeLebesgue integration01 natural sciencessymbols.namesakeConvergence (routing)0202 electrical engineering electronic engineering information engineeringCalculusMathematics (all)0101 mathematicsMathematicsBirkhoff McShane Henstock and Pettis integralMathematics::Complex Variables010102 general mathematicsRiemann integralRiemann hypothesisBounded variationBounded variationAlmost uniform convergencesymbols020201 artificial intelligence & image processingVector-valued function$$ACG_*$$ACG∗and $$ACG_delta ^*$$ACGδ∗function

description

We confine our attention to convergence theorems and descriptive relationships within some subclasses of Riemann-measurable vector-valued functions that are based on the various generalizations of the Riemann definition of an integral.

yearjournalcountryeditionlanguage
2016-05-20Monatshefte für Mathematik
https://doi.org/10.1007/s00605-016-0923-z