Carleman's inequality

American Mathematical Monthly

Volumn 110, Issue 5, 2003, Pages 424-431

  Duncan, John ^a   McGregor, Colin M ^b  

^a UNIVERSITY OF ARKANSAS   (United States)

^b UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038324166     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/3647829     Document Type: Article

References (11)

1. N. G. deBruijn, Carleman's inequality for finite series, Indag. Math. 25 (1963) 505-514.
2. T. Carleman, Sur les fonctions quasi-analytiques, in Proc. 5th Scand. Math. Congress, Helsingfors, Finland, 1923, pp. 181-196.
3. L. Carleson, A proof of an inequality of Carleman, Proc. Amer. Math. Soc. 5 (1954) 932-933.
4. G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities, Cambridge University Press, Cambridge, 1934.
5. P. Henrici, Applied and Computational Complex Analysis, vol. 2, John Wiley and Sons, New York, 1977.
6. K. Knopp, Über Reihen mit positiven Gliedern, J.London Math. Soc. 3 (1928) 205-211.
7. _, Theory and Application of Infinite Series, Dover, New York, 1990.
8. J. Peǒarió and K.B. Stolarsky, Carleman's inequality: history and new generalizations, Aequationes Math. 61 (2001) 49-62.
9. G. Pólya, Proof of an inequality, Proc. London Math. Soc. (2) 24 (1925) 55.
10. _, With, or without, motivation?, this MONTHLY 56 (1949) 684-691.
11. R. Redheffer, Recurrent inequalities, Proc. London Math. Soc. (3) 17 (1967) 683-699.