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A complementary triangle inequality in Hilbert and Banach spaces


Authors: J. B. Diaz and F. T. Metcalf
Journal: Proc. Amer. Math. Soc. 17 (1966), 88-97
MSC: Primary 46.15; Secondary 46.10
DOI: https://doi.org/10.1090/S0002-9939-1966-0188748-8
MathSciNet review: 0188748
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References [Enhancements On Off] (What's this?)

  • [1] Herbert S. Wilf, Some applications of the inequality of arithmetic and geometric means to polynomial equations, Proc. Amer. Math. Soc. 14 (1963), 263-265. MR 0145047 (26:2583)
  • [2] J. B. Diaz and F. T. Metcalf, Complementary inequalities. I: inequalities complementary to Cauchy's inequality for sums of real numbers, J. Math. Anal. Appl. 9 (1964), 59-74. MR 0174679 (30:4879)
  • [3] -, Complementary inequalities. II: inequalities complementary to the Buniakowsky-Schwarz inequality for integrals, J. Math. Anal. Appl. 9 (1964), 278-293. MR 0174680 (30:4880)
  • [4] G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities, Cambridge University Press, New York, 1959.

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DOI: https://doi.org/10.1090/S0002-9939-1966-0188748-8
Article copyright: © Copyright 1966 American Mathematical Society

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