On an inequality for convex functions

Author:
H. D. Brunk

Journal:
Proc. Amer. Math. Soc. **7** (1956), 817-824

MSC:
Primary 42.1X

MathSciNet review:
0081371

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References | Similar Articles | Additional Information

**[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. MR**0073895****[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. MR**0087025****[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.**[5]**-,*Inequalities*, Cambridge, 1934.**[6]**E. M. Wright,*An inequality for convex functions*, Amer. Math. Monthly**61**(1954), 620–622. MR**0064828**

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DOI:
https://doi.org/10.1090/S0002-9939-1956-0081371-9

Article copyright:
© Copyright 1956
American Mathematical Society