THE RELATION BETWEEN HENSTOCK INTEGRAL AND HENSTOCK DELTA INTEGRAL ON TIME SCALES

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Jae Myung Park
Deok Ho Lee
Ju Han Yoon
Young Kuk Kim
Jong Tae Lim

Abstract





In this paper, we define an extension f ∗ : [a, b] → R of a function f : [a, b]T → R for a time scale T and show that f is Henstock delta integrable on [a, b]T if and only if f ∗ is Henstock integrable on [a, b].





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