Czechoslovak Mathematical Journal, Vol. 57, No. 2, pp. 689-696, 2007

The ap-Denjoy and ap-Henstock integrals

Jae Myung Park, Jae Jung Oh, Chun-Gil Park, Deuk Ho Lee

Jae Myung Park, Jae Jung Oh, and Chun-Gil Park, Department of Mathematics, Chungnam National University, Daejeon 305-764, South Korea, e-mail:; Deuk Ho Lee, Department of Mathematics Education, Kongju National University, Kongju 314-701, South Korea, e-mail:

Abstract: In this paper we define the ap-Denjoy integral and show that the ap-Denjoy integral is equivalent to the ap-Henstock integral and the integrals are equal.

Keywords: approximate Lusin function, ap-Denjoy integral, ap-Henstock integral, choice

Classification (MSC 2000): 26A39, 28B05

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