Journal of Inequalities and Applications 
Volume 2008 (2008), Article ID 890137, 7 pages
doi:10.1155/2008/890137
Research Article

Some Multiplicative Inequalities for Inner Products and of the Carlson Type

Sorina Barza,1 Lars-Erik Persson,2 and Emil C. Popa3

 1Department of Mathematics, Karlstad University, 65188 Karlstad, Sweden
2Department of Mathematics, Luleå University of Technology, 97187 Luleå, Sweden
3Department of Mathematics, “Lucian Blaga” University of Sibiu, 550024 Sibiu, Romania
Received 26 September 2007; Accepted 17 January 2008

Recommended by Wing-Sum Cheung

Abstract

We prove a multiplicative inequality for inner products, which enables us to deduce improvements of inequalities of the Carlson type for complex functions and sequences, and also other known inequalities.