Real Analysis Exchange

Kubota’s AD-integral is more general than Burkill’s AP-integral

Cheng-Ming Lee

Full-text: Open access


A valid proof that Kubota’s AD-integral is more general than Burkill’s AP integral is given.

Article information

Real Anal. Exchange, Volume 22, Number 1 (1996), 433-436.

First available in Project Euclid: 1 June 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 26A39: Denjoy and Perron integrals, other special integrals

AD integral AP integral


Lee, Cheng-Ming. Kubota’s AD-integral is more general than Burkill’s AP-integral. Real Anal. Exchange 22 (1996), no. 1, 433--436.

Export citation


  • P. S. Bullen and C. M. Lee, On integrals of Perron Type, Trans. AMS, 182 (1973), 481–501.
  • R. A. Gordon, Some comments on an approximately continuous Khintchine integral, Real Analysis Exchange, 20 (1994-5), 831–841.
  • R. A. Gordon, The integrals of Lebesgue, Denjoy, Perron, and Henstock, Graduate Studies in Mathematics, 4, American Mathematical Society, Providence, 1994.
  • J. C. McGregor, An integral of Perron type, Thesis, University British Columbia, Vancouver, B. C., Canada, 1951.
  • Z. Zahorski, Über die Menge der Punkte in welchen die Ableitung unendlich ist, Tôhoku Math. J., 48 (1941), 321–330.