Abstract
In this paper we present results involving positive linear functionals which generalize results that refine the Hadamard inequality. We also present refinements of results proved for Jensen's inequality and introduce new means of Cauchy's type using converses of Jensen's inequality for superquadratic functions.
Original language | English |
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Pages (from-to) | 97-116 |
Number of pages | 20 |
Journal | International Journal of Pure and Applied Mathematics |
Volume | 69 |
Issue number | 1 |
State | Published - 2011 |
Keywords
- Cauchy means
- Convex functions
- Hermite-Hadamard inequalities
- Monotonicity
- Superquadratic functions
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics