UNIFORM CONVERGENCE OF THE SEQUENCES OF FUNCTIONS {f_(2j+1)(t)} AND {g_(2j+1)(t)}
函数序列{f_(2j+1)(t)}与{g_(2j+1)(t)}的一致收敛性

由1]中调配函数的性质3及5可知,当j为奇数时,f_(2j 1)(t)及g_(2j 1)(t)都是0,1]上点(0,0)及点(1,0)之间的一段凹弧;当j为偶数时,为此二点间的一段凸弧. 下面仅就g_(2j 1)(t)来讨论.如上所述,可知g_(2j 1)(t)在0,1]上是单调函数,且g_(2j 1)(0)与g_(2j 1)(1)异号,即