Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 97430, 19 pages

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

Copyright © 2006 Cheh-Chih Yeh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.