- Research Article
- Open Access
Diamond- Jensen's Inequality on Time Scales
© Moulay Rchid Sidi Ammi et al. 2008
- Received: 12 December 2007
- Accepted: 7 April 2008
- Published: 14 April 2008
The theory and applications of dynamic derivatives on time scales have recently received considerable attention. The primary purpose of this paper is to give basic properties of diamond- derivatives which are a linear combination of delta and nabla dynamic derivatives on time scales. We prove a generalized version of Jensen's inequality on time scales via the diamond- integral and present some corollaries, including Hölder's and Minkowski's diamond- integral inequalities.
- Linear Combination
- Basic Property
- Generalize Version
- Full Article
- Integral Inequality
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