# CERTAIN WEIGHTED MEAN INEQUALITY

• Kim, Namkwon (DEPARTMENT OF MATHEMATICS, CHOSUN UNIVERSITY)
• Accepted : 2014.09.05
• Published : 2014.09.25

#### Abstract

In this paper, we report a new sharp inequality of interpolation type in $\mathbb{R}^n$. This inequality is for controlling weighted average of a function via $L^n$ norm of the gradient of a function together with its' certain exponential norm.

#### Acknowledgement

Supported by : Chosun university

#### References

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