Article
Converses of Jessen's Inequality on Time Scales
Mathematical Notes
Abstract
In this paper, some converses of Jessen's inequality, in terms of the time scale calculus, are proved. The obtained results are used to derive new converse inequalities for generalized means, power means and Hölder's inequality.
Department(s)
Mathematics and Statistics
Keywords and Phrases
- Converses,
- Hӧlder's inequality,
- Jessen's inequality,
- Linear functional,
- Means,
- Time scale
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2015 Pleiades Publishing, All rights reserved.
Publication Date
7-1-2015
Publication Date
01 Jul 2015
Disciplines
Citation Information
J. Baric, Martin Bohner, R. Jaksic and J. Pecaric. "Converses of Jessen's Inequality on Time Scales" Mathematical Notes Vol. 98 Iss. 1-2 (2015) p. 11 - 24 ISSN: 0001-4346; 1573-8876 Available at: http://works.bepress.com/martin-bohner/145/