Original Articles

Strongly Measurable Kurzweil-Henstock Type Integrable Functions and Series

Published in: Quaestiones Mathematicae
Volume 31 , issue 4 , 2008 , pages: 379–386

DOI: 10.2989/QM.2008.31.4.6.610

Author(s): V. Marraffa

Keywords: KURZWEIL-HENSTOCK INTEGRAL , KURZWEIL-HENSTOCK-PETTIS INTEGRAL , VARIATIONAL HENSTOCK INTEGRAL

Abstract

We give necessary and sufficient conditions for the scalar Kurzweil-Henstock integrability and the Kurzweil-Henstock-Pettis integrability of functions f : [1, ∞) → X defined as f = ∑^∞ _n=1 x_nχ _[n,n+1). Also the variational Henstock integrability is considered.

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