Multiplicative Concavity of the Integral of Multiplicatively Concave Functions
We prove that G(x,y)=|∫yxf(t)dt| is multiplicatively concave on [a,b]×[a,b] if f:[a,b]⊂(0,∞)→(0,∞) is continuous and multiplicatively concave.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
|
| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2010/845390 |