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CERTAIN WEIGHTED MEAN INEQUALITY

  • Kim, Namkwon (DEPARTMENT OF MATHEMATICS, CHOSUN UNIVERSITY)
  • Received : 2014.09.02
  • 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

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