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  • Research Article
  • Open Access

Diamond- Jensen's Inequality on Time Scales

  • 1,
  • 1 and
  • 1Email author
Journal of Inequalities and Applications20082008:576876

https://doi.org/10.1155/2008/576876

  • Received: 12 December 2007
  • Accepted: 7 April 2008
  • Published:

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- 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.

Keywords

  • Linear Combination
  • Basic Property
  • Generalize Version
  • Full Article
  • Integral Inequality

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Authors’ Affiliations

(1)
Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal

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