Jensen's Functionals on Time Scales

• Published in: Journal of function spaces Vol. 2012; no. 2012; pp. 1 - 17
• Main Authors: Pecaric, Josip E., Bohner, Martin J., Bibi, Rabia, Anwar, Matloob
• Format: Journal Article
• Language: English
• Published: Cairo, Egypt Hindawi Publishing Corporation 2012

We consider Jensen’s functionals on time scales and discuss its properties and applications. Further, we define weighted generalized and power means on time scales. By applying the properties of Jensen’s functionals on these means, we obtain several refinements and converses of Hölder’s inequality o...