将中点局部一致凸性推广到中点局部k一致凸，并且讨论了它们之间的关系。

Midpoint locally uniform convexity is generalized to the midpoint locally K-uniform convexity, and the relation between the two cases is discussed.

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较系统地建立了U -性质，严格凸，中点局部一致凸等几何量之间的关系。给出了广义-空间是U -空间的刻画。

The connection between U-property and uniformly convexity, uniformly locally mid-points convexity are constructed, the U-property of the generalized lp-space and its quotient space is given.

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