Existence conditions for the Lane integral
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- by Keith P. Smith and Fred M. Wright
- Proc. Amer. Math. Soc. 18 (1967), 1067-1073
- DOI: https://doi.org/10.1090/S0002-9939-1967-0217235-4
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References
- R. C. Bzoch, Existence conditions for an integral of R. E. Lane, J. Indian Math. Soc. (N.S.) 23 (1961), 117–124 (1961). MR 120336
- Lawrence M. Graves, The Theory of Functions of Real Variables, McGraw-Hill Book Co., Inc., New York, 1946. MR 0018708
- Ralph E. Lane, The integral of a function with respect to a function, Proc. Amer. Math. Soc. 5 (1954), 59–66. MR 59346, DOI 10.1090/S0002-9939-1954-0059346-3
- Ralph E. Lane, The integral of a function with respect to a function. II, Proc. Amer. Math. Soc. 6 (1955), 392–401. MR 68612, DOI 10.1090/S0002-9939-1955-0068612-8 C. B. Murray, On the mean integral, Ph.D. thesis, Univ. of Texas Library, Austin, Texas, 1964.
- H. L. Smith, On the existence of the Stieltjes integral, Trans. Amer. Math. Soc. 27 (1925), no. 4, 491–515. MR 1501324, DOI 10.1090/S0002-9947-1925-1501324-5
Bibliographic Information
- © Copyright 1967 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 18 (1967), 1067-1073
- MSC: Primary 26.46; Secondary 28.00
- DOI: https://doi.org/10.1090/S0002-9939-1967-0217235-4
- MathSciNet review: 0217235