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 |
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 |
URI: | http://hdl.handle.net/10773/4092 |
ISSN: | 1025-5834 |
Appears in Collections: | DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[109]_JIA_Rachid_Rui.pdf | 540.38 kB | Adobe PDF | View/Open |
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