Diamond-$α$ Jensen's Inequality on Time Scales

Details Diamond-$α$ Jensen's Inequality on Time Scales Diamond-$α$ Jensen's Inequality on Time Scales

2007-12-11

arxiv.org/abs/0712.1680v3

Journal of Inequalities and Applications, vol. 2008, Article ID 576876, 13 pages, 2008

Mathematics

Classical Analysis and ODEs

This is a preprint of an article whose final and definitive form will appear in the \emph{Journal of Inequalities and Applicat

Scientific paper

10.1155/2008/576876

The theory and applications of dynamic derivatives on time scales has recently received considerable attention. The primary purpose of this paper is to give basic properties of diamond-$\alpha$ 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-$\alpha$ integral and present some corollaries, including H\"{o}lder's and Minkowski's diamond-$\alpha$ integral inequalities.

Affiliated with

Also associated with

No associations

Rating

Diamond-$α$ Jensen's Inequality on Time Scales does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Diamond-$α$ Jensen's Inequality on Time Scales, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diamond-$α$ Jensen's Inequality on Time Scales will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-474279