A complementary triangle inequality in Hilbert and Banach spaces
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- by J. B. Diaz and F. T. Metcalf PDF
- Proc. Amer. Math. Soc. 17 (1966), 88-97 Request permission
References
- 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 145047, DOI 10.1090/S0002-9939-1963-0145047-5
- 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 174679, DOI 10.1016/0022-247X(64)90006-X
- J. B. Diaz and F. T. Metcalf, Complementary inequalities. II. Inequalities complementary to the Buniakowsky-Schwarz inequality for integrals, J. Math. Anal. Appl. 9 (1964), 278–293. MR 174680, DOI 10.1016/0022-247X(64)90006-X G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities, Cambridge University Press, New York, 1959.
Additional Information
- © Copyright 1966 American Mathematical Society
- 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