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Some Helly theorems for monotone functions


Authors: H. D. Brunk, G. M. Ewing and W. R. Utz
Journal: Proc. Amer. Math. Soc. 7 (1956), 776-783
MSC: Primary 26.0X
DOI: https://doi.org/10.1090/S0002-9939-1956-0082534-9
MathSciNet review: 0082534
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  • [2] Harald Cramér, Mathematical Methods of Statistics, Princeton Mathematical Series, vol. 9, Princeton University Press, Princeton, N. J., 1946. MR 0016588
  • [3] E. Helly, Über lineare funktional Operationen, Sitzungsberichte der Mathematisch-Naturwissenschaftlichen Klasse der Kaiserlichen Akademie der Wissenschaften vol. 121 (1912) pp. 265-297.
  • [4] E. W. Hobson, The theory of functions of a real variable and the theory of Fourier's series, 2d ed., Cambridge, Cambridge University Press, 1921.
  • [5] J. A. Shohat and J. D. Tamarkin, The Problem of Moments, American Mathematical Society Mathematical surveys, vol. I, American Mathematical Society, New York, 1943. MR 0008438
  • [6] David Vernon Widder, The Laplace Transform, Princeton Mathematical Series, v. 6, Princeton University Press, Princeton, N. J., 1941. MR 0005923
  • [7] W. H. Young, On multiple integrals, Proc. Roy. Soc. London Ser. A vol. 93 (1916) pp. 28-41.

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DOI: https://doi.org/10.1090/S0002-9939-1956-0082534-9
Article copyright: © Copyright 1956 American Mathematical Society