Mean values of r-convex functions
碩士 === 淡江大學 === 數學學系碩士班 === 101 === For a continuous positive function f on interval I and a,b∈I, we consider two functions H(a,b;t)=frac{1}{b-a}int_{a}^{b}f(tx+(1-t)frac{a+b}{2})dx and F(a,b;t)=frac{1}{(b-a)^2}int_{a}^{b}int_{a}^{b}f(tx+(1-t)y)dxdy The followings are our results (1)If r≦1 and f is...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Others |
| Language: | zh-TW |
| Published: |
2013
|
| Online Access: | http://ndltd.ncl.edu.tw/handle/20380956530063860765 |