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Differences of means
Author(s):
O.
Shisha;
B.
Mond
Journal:
Bull. Amer. Math. Soc.
73
(1967),
328-333.
MathSciNet review:
0212149
Retrieve article in:
PDF
References |
Additional information
References:
- 1.
- E. F. Beckenbach, On the inequality of Kantorovich, Amer. Math. Monthly 71 (1964), 606-619. MR 168714
- 2.
- E. F. Beckenbach, A "workshop" on Minkowski's inequality, Inequalities: Proceedings of a Symposium, O. Shisha, ed., Academic Press, New York, 1967. MR 219681
- 3.
- E. F. Beckenbach and R. Bellman, Inequalities, 2nd rev. printing, Springer-Verlag, New York, 1965. MR 192009
- 4.
- G. T. Cargo and O. Shisha, Bounds on ratios of means, J. Res. Nat. Bur. Standards 66B (1962), 169-170. MR 147595
- 5.
- J. B. Diaz, A. J. Goldman and F. T. Metcalf, Equivalence of certain inequalities complementing those of Cauchy-Schwarz and Hölder, J. Res. Nat. Bur. Standards 68B (1964), 147-149. MR 176019
- 6.
- J. B. Diaz and F. T. Metcalf, Stronger forms of a class of inequalities of G. Pólya-G. Szegö, and L. V. Kantorovich, Bull. Amer. Math. Soc. 69 (1963), 415-418. MR 146324
- 7.
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- 8.
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- 9.
- J. B. Diaz and F. T. Metcalf, Complementary inequalities III: Inequalities complementary to Schwarz's inequality in Hilbert space, Math, Ann. 162 (1965), 120-139. MR 188803
- 10.
- A. J. Goldman, A generalization of Rennie's inequality, J. Res. Nat. Bur. Standards 68B (1964), 59-63. MR 168713
- 11.
- G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, 2nd ed., Cambridge Univ. Press, Cambridge, 1952. MR 527275
- 12.
- A. W. Marshall and I. Olkin, Reversal of the Lyapunov, Hölder, and Minkowski inequalities and other extensions of the Kantorovich inequality, J. Math. Anal. Appl. 8 (1964), 503-514. MR 174681
- 13.
- B. Mond and O. Shisha, Ratios of means and applications, Inequalities: Proceedings of a Symposium, O. Shisha, ed., Academic Press, New York, 1967. MR 241590
- 14.
- B. Mond and O. Shisha, A difference inequality for operators in Hilbert space, Blanch Anniversary Volume, B.Mond, ed., Aerospace Research Laboratories, Wright-Patterson Air Force Base, Ohio, 1967. MR 215115
- 15.
- O. Shisha and B. Mond, Bounds on differences of means, Inequalities: Proceedings of a Symposium, O. Shisha, ed., Academic Press, New York, 1967. MR 212149
Additional Information:
DOI:
10.1090/S0002-9904-1967-11737-3
PII:
S 0002-9904(1967)11737-3
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