DOI QR코드

DOI QR Code

CHARACTERIZING CONVERGENCE CONDITIONS FOR THE Mα-INTEGRAL

  • 투고 : 2011.04.12
  • 심사 : 2011.08.25
  • 발행 : 2011.09.30

초록

Park, Ryu, and Lee recently defined a Henstock-type integral, which lies entirely between the McShane and the Henstock integrals. This paper presents two characterizing convergence conditions for this integral, and derives other known convergence theorems as corollaries.

키워드

참고문헌

  1. R. A. Gordon, The Integrals of Lebegue, Denjoy, Perron, and Henstock, Grad- uate Studies in Math. 4, Amer. Math. Soc. (1994).
  2. J. M. Park, H. W. Ryu and H. K. Lee, The $M_{\alpha}$-integral, J. Chungcheong Math. 23 (2010), no. 1, 99-108.
  3. J.M. Park, D.H. Lee, J.H. Yoon and H.K. Lee, The integration by parts for the $M_{\alpha}$integral, J. Chungcheong Math. 23 (2010), no. 4, 861-870.