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东北数学,NORTHEAST MATH J,21(4)(2005),431-438.
Exponential Generalization of Newman' s Inequality and Klamkin's Inequality
SHI Huau-nail(石焕南)
Abstract:Exponential generalizations of Newman’s inequality told Klamkin’s inequality
are established by the Wang W∞-lan’s inequMity,and they are extended to
the eases involving general elementary symmetric functions.As an application,sonle
new inequalities for a simplex are established In addition,an open problem is posed.
Key words:Newman's inequality。Klamkin’s inequality,Wang Wan-lan’s inequality,
elementary symmetric function,exponent,simplex
2000 MR subject classiflcation:26D15.52A40
CLC number:0178.1.0184
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