Converses of Jessen's Inequality on Time Scales

Author

J. Baric
Martin Bohner, Missouri University of Science and TechnologyFollow
R. Jaksic
J. Pecaric

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.

Recommended Citation

J. Baric et al., "Converses of Jessen's Inequality on Time Scales," Mathematical Notes, vol. 98, no. 1-2, pp. 11 - 24, Pleiades Publishing, Jul 2015.

The definitive version is available at https://doi.org/10.1134/S0001434615070020

Department(s)

Mathematics and Statistics

Keywords and Phrases

Converses; Hӧlder's inequality; Jessen's inequality; Linear functional; Means; Time scale

International Standard Serial Number (ISSN)

0001-4346; 1573-8876

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2015 Pleiades Publishing, All rights reserved.

Publication Date

01 Jul 2015