The convexity method of proving moment-type inequalities

Statistics and Probability Letters

Volumn 66, Issue 3, 2004, Pages 303-313

  Csiszár, Villo ^a   Móri, Tamás F ^a  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

Convexity; Diaz Metcalf inequality; Qi inequality

Indexed keywords

EID: 0742306386     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2003.11.007     Document Type: Article

References (11)

1. Diaz J.B. Metcalf F.T. Stronger forms of a class of inequalities of G. Pólya-G. Szego and L.V. Kantorovich Bull. Amer. Math. Soc. 69 1963 415-418
2. Feng Qi F. 2000 Several integral inequalities. J. Inequal. Pure Appl. Math. 1(2), Art. 19 (electronic).
3. Hinčin A.Ja. Izv. Naučn.-Issled Inst. Mat. Meh. Tomsk Gos. Univ. 2 1938 1-7
4. Mazouzi, S., Qi, F., 2003. On an open problem regarding an integral inequality. J. Inequal. Pure Appl. Math. 4(2), Art. 31 (electronic).
5. Móri T.F. Székely G.J. A note on the background of several Bonferroni-Galambos type inequalities J. Appl. Probab. 22 1985 836-843
6. Móri T.F. Székely G.J. On the correlation between the sample mean and sample variance In: Iványi A. (Ed.), Second Conference of Program Designers 1986 207-209 ELTE Budapest
7. Pogány T.K. 2002 On an open problem of F. Qi. J. Inequal. Pure Appl. Math. 3(4), Art. 54 (electronic).
8. Pogány, T.K., 2003. New (probabilistic) derivation of Diaz-Metcalf and Pólya-Szego inequalities and consequences. Manuscript.
9. Schaefer H.H. Topological Vector Spaces 1966 Macmillan New York
10. Towghi N. 2001 Notes on integral inequalities. RGMIA Res. Rep. Coll. 4(2), Art. 12 (electronic), 277-278.
11. Yu K.W. Qi F. 2001 A short note on an integral inequality. RGMIA Res. Rep. Coll. 4(1), Art. 4 (electronic), 23-25.