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Inequalities. Proceedings of a symposium held at Wright-Patterson Air Force Base, Ohio, August 19–27, 1965. (English) Zbl 0178.00102

New York-London: Academic Press. xiv, 360 p. (1967).
Table of contents: List of Contributors (v–vi). Preface (vii).
George Pólya, Inequalities and the principle of nonsufficient reason (1–15);
E. F. Beckenbach, Inequalities in the differential geometry of surfaces (17–35);
E. F. Beckenbach, A ”Work-shop” on Minkowski’s inequality (37–55);
N. G. De Bruijn, Uncertainty principles in Fourier analysis (57–71);
J. B. Diaz and F. T. Metcalf, Inequalities complementary to Cauchy’s inequality for sums of real numbers (73–77);
J. B. Diaz and F. T. Metcalf, Variations of Wirtinger’s inequality (79–103);
Ky Fan, Inequalities for the sum of two M-matrices (105–117);
Avner Friedman, On some inequalities and their applications to the Cauchy problem (119–126);
R. P. Gosse-Lin, General subadditive functions (127–135);
Samuel Karlin und Zvi Ziegler, Chebyshevian spline functions (137–149);
J. E. Littlewood, Some new inequalities and unsolved problems (151–162);
Marvin Marcus, Lengths of tensors (163–176);
Albert W. Marshall, Ingram Olkin and Frank Proschan, Monotonicity of ratios of means and other applications of majorization (177–190);
B. Mond and D. Shisha, Ratios of means and applications (191–197);
T. S. Motzkin, Algebraic inequalities (199–203);
T. S. Motzkin, The arithmetic-geometric inequality (205–224);
T. S. Motzkin, Sign of minors (225–240);
L. E. Payne, A priori pounds in problems of steady subsonic flow (241–254);
I. J. Schoenberg, On spline functions (255–291);
O. Shisha and B. Mond, Bounds on differences of means (293–308);
Olga Taussky, Positive-definite matrices (309–319);
John Todd, Inequalities of Chebyshev, Zolotareff, Cauer, and W. B. Jordan (321–328);
Alexander Weinstein, On the new maximum-minimum theory of eigenvalues (329–338);
Y. K. Wong, Generalizations of Ostrowski’s inequality for matrices with dominant principal diagonal (339–353);
Index (355–360).
The articles of this volume will not be indexed individually.

MSC:

00B25 Proceedings of conferences of miscellaneous specific interest
26-06 Proceedings, conferences, collections, etc. pertaining to real functions

Keywords:

inequalities