Abstract
In this paper, two different methods of proving Jensen's inequality on time scales for superquadratic functions are demonstrated. Some refinements of classical inequalities on time scales are obtained using properties of superquadratic functions and some known results for isotonic linear functionals. © 2013 The Korean Mathematical Society.
Recommended Citation
J. Barić et al., "Time Scales Integral Inequalities for Superquadratic Functions," Bulletin of the Korean Mathematical Society, vol. 50, no. 3, pp. 465 - 477, Korea Science, May 2013.
The definitive version is available at https://doi.org/10.4134/JKMS.2013.50.3.465
Department(s)
Mathematics and Statistics
Keywords and Phrases
Hermite-hadamard's inequality; Hölder's inequality; Jensen's inequality; Jessen-mercer's inequality; Minkowski's inequality; Slater's inequality; Superquadratic functions; Time scales
International Standard Serial Number (ISSN)
1015-8634
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Korea Science, All rights reserved.
Publication Date
08 May 2013
