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.
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