Abstract
In this paper we define new means of Cauchy's type using some recently obtained results that refine the Jensen-Steffensen-Boas inequality for convex and superquadratic functions [4],[5]. Applying so called exp-convex method established in [8],[9], we interpret results in the form of exponentially convex or (as a special case) logarithmically convex functions. We also present some related results which generalize results in [2].
| Original language | English |
|---|---|
| Pages (from-to) | 169-180 |
| Number of pages | 12 |
| Journal | Journal of Mathematical Inequalities |
| Volume | 5 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jun 2011 |
Keywords
- Cauchy means
- Exponential convexity
- Jensen-steffensen inequality
- Log-convexity
- Monotonicity
- Superquadratic functions
ASJC Scopus subject areas
- Analysis