6533b831fe1ef96bd12998da

RESEARCH PRODUCT

Strongly measurable Kurzweil-Henstock type integrable functions and series

Valeria Marraffa

subject

Pure mathematicsMathematics (miscellaneous)Integrable systemKurzweil-Henstock integral Kurzweil-Henstock-Pettis integral variational Henstock integralSettore MAT/05 - Analisi MatematicaMathematical analysisScalar (mathematics)Mathematics

description

We give necessary and sufficient conditions for the scalar Kurzweil-Henstock integrability and the Kurzweil-Henstock-Pettis integrability of functions $f:[1, infty) ightarrow X$ defined as $f=sum_{n=1}^infty x_n chi_{[n,n+1)}$. Also the variational Henstock integrability is considered

10.2989/qm.2008.31.4.6.610http://hdl.handle.net/10447/40115