Abstract
In this paper, a new weighted identity for differentiable functions of two variables defined on a rectangle from the plane is established. By using the obtained identity and analysis, some new weighted integral inequalities for the classes of coordinated convex, co-ordinated wright-convex and co-ordinated quasi-convex functions on the rectangle from the plane are established which provide weighted generalization of some recent results proved for co-ordinated convex functions.
| Original language | English |
|---|---|
| Pages (from-to) | 197-210 |
| Number of pages | 14 |
| Journal | UPB Scientific Bulletin, Series A: Applied Mathematics and Physics |
| Volume | 78 |
| Issue number | 4 |
| Publication status | Published - 2016 |
| Externally published | Yes |
Keywords
- Co-ordinated convex function
- Co-ordinated quasi-convex function
- Coordinated wright-convex function
- Hermite-Hadamard's inequality
- Hölder's integral inequality
- Quadrature formula
ASJC Scopus subject areas
- General Physics and Astronomy
- Applied Mathematics