A NOTE ON THE COMPARISON BETWEEN THE HENSTOCK AND BOCHNER INTEGRALS FOR NON-NEGATIVE FUNCTIONS WITH VALUES IN AN ORDERED BANACH SPACE

A well-known result for real-valued functions states that every nonnegative Henstock-Kurzweil integrable function is Lebesgue integrable.However, this result does not hold when considering the Henstock and Bochner integrals for functions taking values in an ordered Banach space.In this work, we provide sufficient conditions under which a non-negative Henstock integrable function is also Bochner integrable.