凸函数的一个命题及衔接运算

A PROPOSITION AND LINKING OPERATION OF CONVEX FUNCTION

从点集角度给出了凸函数的一个命题和凸函数f和g在衔接运算下不变性的几个充分条件,并将此结果推广到可数个凸函数的情形;最后,指出了文献[6]的一处错误,并给予了反例.

This paper has given out a proposition of convex function by point set and some sufficient conditions about the invariance of convex function /and g under linking operation. Then, extends the result to countable convex functions. Finally, we point out a mistake in reference [6] and provide a counterexample.