Journal of Inequalities and Applications 
Volume 2006 (2006), Article ID 97430, 19 pages
doi:10.1155/JIA/2006/97430

Some complements of Cauchy's inequality on time scales

Cheh-Chih Yeh,1 Huei-Lin Hong,2 Horng-Jaan Li,3 and Shiueh-Ling Yu4

 1Department of Information Management, Lunghwa University of Science and Technology, Kueishan, Taoyuan 333, Taiwan
2General Education Center, National Taipei University of Technology, Taipei 106, Taiwan
3General Education Center, Chien Kuo Institute of Technology, Chang-Hua 50050, Taiwan
4Holistic Education Center, St. John's and St. Mary's Institute of Technology, Taipei 251, Tamsui, Taiwan
Received 15 April 2004; Accepted 26 September 2004

Dedicated to Professor T. Tsuchikura on his 80th birthday

Abstract

We establish some complements of Cauchy's inequality on time scales. These results extend some inequalities given by Cargo, Diaz, Goldman, Greub, Kantorovich, Makai, Metcalf, Pólya, Rheinboldt, Schweitzer, and Szegö, and so on.