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On an inequality for convex functions. (English) Zbl 0071.27902


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[1] Miriam Ayer, H. D. Brunk, G. M. Ewing, W. T. Reid, and Edward Silverman, An empirical distribution function for sampling with incomplete information, Ann. Math. Statist. 26 (1955), 641 – 647. · Zbl 0066.38502
[2] H. D. Brunk, G. M. Ewing, and W. T. Reid, The minimum of a certain definite integral suggested by the maximum likelihood estimate of a distribution function, Bull. Amer. Math. Soc. Abstract 60-6-684.
[3] H. D. Brunk, G. M. Ewing, and W. R. Utz, Minimizing integrals in certain classes of monotone functions, Pacific J. Math. 7 (1957), 833 – 847. · Zbl 0080.34101
[4] G. H. Hardy, J. E. Littlewood, and G. Pólya, Some simple inequalities satisfied by convex functions, Messenger of Math. vol. 58 (1928) pp. 145-152. · JFM 55.0740.04
[5] -, Inequalities, Cambridge, 1934. · Zbl 0010.10703
[6] E. M. Wright, An inequality for convex functions, Amer. Math. Monthly 61 (1954), 620 – 622. · Zbl 0057.04801
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