Secondly , using the relation between the weighted modified k - functional , the weighted modulus of smoothness , the weighted main - part modulus of smoothness . we get the pointwise direct and inverse approximation theorem with jacobi weight for s ' zdsz - kantorovich operator . thus some results on w ( x ) = 0 ( w ( x ) denotes the weight function ) , ditzian - totik modulus and classic modulus are extend 其次，引入一种改变的带权k -泛函，利用带权光滑模和带权主部光滑的关系及带权光滑模与改变带权k -泛函的等价性，关于sz sz - kantorovich算子，讨论了一阶矩不为零的算子的点态带jacobi权逼近正定理及等价定理，推广了已有的权为零及ditzian - totik光滑模和古典光滑模的结果。
