Previous |  Up |  Next


Kurzweil’s PU integral; Lebesgue integral; McShane integral
For a merely continuous partition of unity the PU integral is the Lebesgue integral.
[1] Russel A. Gordon: The Integrals of Lebesgue, Denjoy, Perron, and Henstock. American Mathematical Society, 1994. MR 1288751
[2] J. Kurzweil, J. Jarník: A non absolutely convergent integral which admits transformation and can be used on manifolds. Czechoslovak Math. J. 35 (1985), 116–139. MR 0779340
[3] J. Kurzweil, J. Jarník: A new and more powerful concept of the PU integral. Czechoslovak Math. J. 38 (1988), 8–48. MR 0925939
[4] J. Kurzweil, J. Mawhin, W. Pfeffer: An integral defined by approximating BV partitions of unity. Czechoslovak Math. J. 41 (1991), 695–712. MR 1134958
[5] Lee, Peng Yee, Rudolf Výborný: The Integral: An Easy Approach after Kurzweil and Henstock. Cambridge University Press, Cambridge, UK, 2000. MR 1756319
Partner of
EuDML logo