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Title: Diamond-α Jensen's inequality on time scales
Author: 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.
Peer review: yes
ISSN: 1025-5834
Appears in Collections:DMat - Artigos

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