Convex set functions ind-space

1. T. W. Anderson, The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities,Proc. Amer. Math. Soc. 6 (1955), 170–176.

   Article  MathSciNet  MATH  Google Scholar 

2. C. Borell, Inverse inequalities for concave or generalized concave functions, Uppsala Univ. Dept. of Math., Report No. 44 (1972).

3. C. Borell, Complements of Lyapunov's inequality,Math. Ann. 205 (1973), 323–331.

   Article  MathSciNet  MATH  Google Scholar 

4. S. Das Gupta, M. L. Eaton, I. Olkin, M. Perlman, L. J. Savage andM. Sobel, Inequalities on the probability content of convex regions for elliptically contoured distributions,Proc. Sixth Berkeley Sympos. Math. Statist. Probability, Vol. II, Berkeley, 1972, 241–265.

   MATH  Google Scholar 

5. A. Dinghas, Über eine Klasse superadditiver Mengenfunktionale von Brunn-Minkowski-Lusternikschem typus,Math. Z. 68 (1957/58), 111–125.

   Article  MathSciNet  Google Scholar 

6. H. Hadwiger andD. Ohman, Brunn-Minkowskischer Satz und Isoperimetrie,Math. Z. 66 (1956/57), 1–8.

   Article  MathSciNet  Google Scholar 

7. N. L. Johnson andS. Kotz,Distributions in Statistics: Continuous Multivariate Distributions, Wiley, New York, 1972.

   MATH  Google Scholar 

8. L. Leindler, On a certain converse of Hölder's inequality II,Acta Sci. Math. (Szeged) 33 (1972), 215–223.

   MATH  Google Scholar 

9. P. Montel, Sur les fonctions convexes et les fonctions sousharmoniques,J. Math. Pures Appl. 7 (1928), 29–60.

   MATH  Google Scholar 

10. A. Prékopa, Logarithmic concave measures with application to stochastic programming,Acta Sci. Math. (Szeged) 32 (1971), 301–316.

    MathSciNet  MATH  Google Scholar 

11. C. A. Rogers andG. C. Shephard, The difference body of a convex body,Arch. Math. (Basel) 8 (1957), 220–233.

    Article  MathSciNet  MATH  Google Scholar 

12. R. A. Rosenbaum, Sub-additive functions,Duke Math. J. 17 (1950), 225–247.

    Article  MathSciNet  Google Scholar 

13. W. Rudin,Real and Complex Analysis, McGraw-Hill, New York, 1966.

    MATH  Google Scholar 

14. I. J. Schoenberg, On Pólya frequency functions I. The totally positive functions and their Laplace transforms,J. Analyse Math. 1 (1951), 331–374.

    Article  MathSciNet  MATH  Google Scholar 

15. S. Sherman, A theorem on convex sets with applications,Ann. Math. Statist. 26 (1955), 763–767.

    Article  MathSciNet  MATH  Google Scholar 

16. W. Sierpiński, Sur la question de la mesurabilité de la base de M. Hamel,Fund. Math. 1 (1920), 105–111.

    MATH  Google Scholar 

17. S. Vajda,Probabilistic programming, Academic Press, New York, 1972.

    Google Scholar 

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