Communications in Mathematical Analysis

Jensen-Type Inequalities on Time Scales For $n$-Convex Functions

Rozarija Mikic and Josip Pecaric

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


By utilizing some scalar inequalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Jensen's inequality and in the Edmundson-Lah-Ribaric inequality in time scale calculus that hold for the class of $n$-convex functions. Main results are then applied to generalized means, with a particular emphasis to power means, and in that way some new reverse relations for generalized and power means that correspond to $n$-convex functions are obtained.

Article information

Commun. Math. Anal., Volume 21, Number 2 (2018), 46-67.

First available in Project Euclid: 21 December 2018

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 26D15: Inequalities for sums, series and integrals 26E70: Real analysis on time scales or measure chains {For dynamic equations on time scales or measure chains see 34N05} 26A51: Convexity, generalizations

Time scale linear functional Jensen's inequality $n$-convex functions means


Mikic, Rozarija; Pecaric, Josip. Jensen-Type Inequalities on Time Scales For $n$-Convex Functions. Commun. Math. Anal. 21 (2018), no. 2, 46--67.

Export citation