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arXiv 2301.08342math.FAmath.CA
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正差函数的Hornich-Hlawka泛函不等式

The Hornich-Hlawka functional inequality for functions with positive differences

Constantin P. Niculescu, Suvrit Sra

摘要:

我们分析所发挥的作用$n$ -凸性的履行一系列的线性泛函不等式,扩展Hornich-Hlawka功能不等式,$f\left( x\right) +f\left( y\right) +f\left( z\right) +f\left( x+y+z\right) \geq f\left( x+y\right) +f\left( y+z\right)+f\left( z+x\right) +f(0),$包括扩展的情况下,积极的运营商。

英文摘要:

We analyze the role played by $n$-convexity for the fulfillment of a series of linear functional inequalities that extend the Hornich-Hlawka functional inequality, $f\left( x\right) +f\left( y\right) +f\left( z\right) +f\left( x+y+z\right) \geq f\left( x+y\right) +f\left( y+z\right)+f\left( z+x\right) +f(0),$ including extensions to the case of positive operators.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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