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 Diamond-α Jensen's inequality on time scales
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/4092

title: Diamond-α Jensen's inequality on time scales
authors: Sidi Ammi, M.R.
Ferreira, R.A.C.
Torres, D.F.M.
issue date: 2008
publisher: Hindawi Publishing Corporation
abstract: 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-α 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-α integral and present some corollaries, including Hölder's and Minkowski's diamond-α integral inequalities. Copyright © 2008 Moulay Rchid Sidi Ammi et al.
URI: http://hdl.handle.net/10773/4092
ISSN: 1025-5834
source: Journal of Inequalities and Applications
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