A compact determinantal representation for inverse difference is given. From the representation it is easy to know that the inverse difference of a function at some n + 1 points xo, x1, xn depends on th orderings of ...A compact determinantal representation for inverse difference is given. From the representation it is easy to know that the inverse difference of a function at some n + 1 points xo, x1, xn depends on th orderings of these points and it is locally independent of the permutation of first n - 1 points. Moreover we define reciprocal difference from another point of view, get the relation between inverse difference and reciprocal difference and obtain the property that the reciprocal difference is globally independent of the permutation of the points.展开更多
文摘A compact determinantal representation for inverse difference is given. From the representation it is easy to know that the inverse difference of a function at some n + 1 points xo, x1, xn depends on th orderings of these points and it is locally independent of the permutation of first n - 1 points. Moreover we define reciprocal difference from another point of view, get the relation between inverse difference and reciprocal difference and obtain the property that the reciprocal difference is globally independent of the permutation of the points.
