An elementary proof of integration by parts for the Perron integral
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- by Louis Gordon and Sim Lasher
- Proc. Amer. Math. Soc. 18 (1967), 394-398
- DOI: https://doi.org/10.1090/S0002-9939-1967-0210841-2
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References
- E. W. Hobson, The theory of functions of a real variable and the theory of Fourier series, Vol. 1, 3rd ed., Cambridge Univ. Press, Cambridge, 1927, 711-715.
- R. L. Jeffery, Non-absolutely convergent integrals, Proc. Second Canadian Math. Congress, Vancouver, 1949, University of Toronto Press, Toronto, 1951, pp. 93–145. MR 0044614
- E. Kamke, Das Lebesgue-Stieltjes-Integral, B. G. Teubner Verlagsgesellschaft, Leipzig, 1960 (German). 2te, verbesserte Aufl. MR 0125193
- E. J. McShane, On Perron integration, Bull. Amer. Math. Soc. 48 (1942), 718–726. MR 7040, DOI 10.1090/S0002-9904-1942-07766-4
- Stanisław Saks, Theory of the integral, Second revised edition, Dover Publications, Inc., New York, 1964. English translation by L. C. Young; With two additional notes by Stefan Banach. MR 0167578
Bibliographic Information
- © Copyright 1967 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 18 (1967), 394-398
- MSC: Primary 26.45
- DOI: https://doi.org/10.1090/S0002-9939-1967-0210841-2
- MathSciNet review: 0210841