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Generalized integrals with respect to base functions which are not of bounded variation

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Topics in Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 419))

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References

  1. Burry, J. W. H., and H. W. Ellis: On measures determined by continuous functions that are not of bounded variation.-Canad. Math. Bull. 13, 1970, pp.121–124.

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  2. Ellis, H. W., and R. L. Jeffery: Derivatives and integrals with respect to a base function of generalized bounded variation.-Canad. J. Math. 19, 1967, pp.225–241.

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  3. Henstock, R.: A new descriptive definition of the Ward integral.-J. London Math. Soc. 35, 1960, pp.43–48.

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  4. _"_ N-variation and N-variational integrals of set functions.-Proc. London Math. Soc. (3) 11, 1961, pp.109–133.

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  5. James, R. D.: Generalized nth primitives.-Trans. Amer. Math. Soc. 76, 1954, pp.149–176.

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  6. Jeffery, R. L.: Non-absolutely convergent integrals with respect to functions of bounded variation.-Trans. Amer. Math. Soc. 34, 1932, pp.645–675.

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  7. Sargent, W. L. C.: A descriptive definition of Cesàro-Perron integrals.-Proc. London Math. Soc. (2) 47, 1942, pp.212–247.

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  8. Ward, A. J.: The Perron-Stieltjes integral.-Math. Z. 41, 1936, pp.578–604. Further references are given in [6].

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Authors and Affiliations

  1. Department of Mathematics, Acadia University, Wolfville, Nova Scotia, Canada

    R. L. Jeffery

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  1. R. L. Jeffery
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Olli Lehto Ilppo Simo Louhivaara Rolf Nevanlinna

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© 1974 Springer-Verlag

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Jeffery, R.L. (1974). Generalized integrals with respect to base functions which are not of bounded variation. In: Lehto, O., Louhivaara, I.S., Nevanlinna, R. (eds) Topics in Analysis. Lecture Notes in Mathematics, vol 419. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064728

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  • DOI: https://doi.org/10.1007/BFb0064728

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  • Print ISBN: 978-3-540-06965-2

  • Online ISBN: 978-3-540-37907-2

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