Author(s):
Sidi Ammi, M.R. 
; Ferreira, R.A.C. ; Torres, D.F.M.
Date: 2008
Persistent ID: http://hdl.handle.net/10773/4092
Origin: RIA - Repositório Institucional da Universidade de Aveiro
Document details
Diamond-α Jensen's inequality on time scales
Description
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.
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.
Document Type
Article
Language English
Language English
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