Necessary and sufficient conditions for differentiating under the integral sign

American Mathematical Monthly

Volumn 108, Issue 6, 2001, Pages 544-848

  Talvila, Erik ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035374216     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/2695709     Document Type: Article

References (7)

1. R.G. Bartle and D.R. Sherbert, Introduction to real analysis, Wiley, New York, 2000.
2. V.G. Čelidze and A.G. Džvaršeǐšvili, The theory of the Denjoy integral and some applications (trans. P.S. Bullen), World Scientific, Singapore, 1989.
3. R.A. Gordon, The integrals of Lebesgue, Denjoy, Perron, and Henstock, American Mathematical Society, Providence, 1994.
4. E.W. Hobson, The theory of functions of a real variable and the theory of Fourier's series, vol. II, Dover, New York, 1957.
5. R.L. Jeffrey, The theory of functions of a real variable, University of Toronto Press, Toronto, 1953.
6. K. Rogers, Advanced calculus, Merrill, Columbus, 1976.
7. E. Talvila, Some divergent trigonometric integrals, Amer. Math. Monthly, 108 (2001) pp. 432-436.