Abstract
In this paper we prove some Hermite-Hadamard, Fejer and Sherman type inequlities for generalizations of superquadratic functions and convex functions. These results, under a monotonicity condition, lead to refinements of the Hermite-Hadamard, Fejer and Sherman inequalities of non-negative convex functions. Also, the obtained inequalities are discussed about and compared with some recent generalizations of weighted Hermite-Hadamard inequalities.
| Original language | English |
|---|---|
| Pages (from-to) | 559-575 |
| Number of pages | 17 |
| Journal | Journal of Mathematical Inequalities |
| Volume | 14 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Jun 2020 |
Bibliographical note
Publisher Copyright:© Zagreb.
Keywords
- Convexity
- Fejer type inequalities
- Hermite-hadamard type inequalities
- Jensen type inequalities
- N -quasiconvexity
- N -quasisuperquadracity
- Sherman type inequalities
- Superquadracity
- f-divergence
ASJC Scopus subject areas
- Analysis