Some complements of Cauchy's inequality on time scales

Cheh-Chih Yeh; Huei-Lin Hong; Horng-Jaan Li; Shiueh-Ling Yu

doi:10.1155/JIA/2006/97430

Research Article
Open Access

Some complements of Cauchy's inequality on time scales

Cheh-Chih Yeh¹Email author,
Huei-Lin Hong²,
Horng-Jaan Li³ and
Shiueh-Ling Yu⁴

Journal of Inequalities and Applications20062006:97430

https://doi.org/10.1155/JIA/2006/97430

Received: 15 April 2004
Accepted: 26 September 2004
Published: 22 January 2006

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.

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Authors’ Affiliations

(1)

Department of Information Management, Lunghwa University of Science and Technology, Kueishan, Taoyuan, 333, Taiwan

(2)

General Education Center, National Taipei University of Technology, Taipei, 106, Taiwan

(3)

General Education Center, Chien Kuo Institute of Technology, Chang-Hua, 50050, Taiwan

(4)

Holistic Education Center, St. John's and St. Mary's Institute of Technology, Taipei, Tamsui, 251, Taiwan

Copyright

This article is published under license to BioMed Central Ltd. 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.