Diamond- Jensen's Inequality on Time Scales

By M. R. Sidi Ammi, Rui A. C. Ferreira, Delfim F. M. Torres. 2007

70 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/aa06ddbce5b3d4eb777dfda1230f189b2d61bac0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Agnieszka B. Malinowska
2. Delfim F. M. Torres
3. Rui A. C. Ferreira
4. Loïc Bourdin
5. Ricardo Almeida
6. Gastão S. F. Frederico

In Modeling and Simulation

1. Delfim F. M. Torres
2. Agnieszka B. Malinowska
3. Loïc Bourdin
4. G. M. Bahaa
5. Ricardo Almeida
6. Rui A. C. Ferreira
7. Dumitru Băleanu
8. Amar Debbouche

Citations in the corpus

• On the diamond-alpha riemann integral and mean value theorems on time scales (2008, background): “Keywords: time scales, diamond-alpha integral, Fermat’s theorem for stationary points, mean value theorems.”