Kluvánek-Lewis-Henstock integral in a Banach space
arXiv:2106.11778
Abstract
We investigate some properties and convergence theorem of Kluvánek-Lewis-Henstock $\m-$integrability for $\m-$measurable functions that we introduced in \cite{ABH}. We give a $\m-$a.e. convergence version of Dominated (resp. Bounded) Convergence Theorem for $\m.$ We introduce Kluvánek-Lewis-Henstock integrable of scalar-valued functions with respect to a set valued measure in a Banach space. Finally we introduce type Dominated Convergence Theorem for the set-valued Kluvánek-Lewis-Henstock integral.
no of pages 16