多项式函数等距节点函数值之间的关系

he Lagrange polynomial interpolation function is one of the most important formulas of the algebric polynomials. It possesses the simple formation and gauge symmetry, which is good for programming calculation. The Lagrange interpolation method has been widely used both in fundermental and application. Such as the numerical calculation and data processing . However, with the increase of the polynomial, the complexity of algorithm is increased dramatically. So how to get the results of the function easier and faster is still an important research in this area for decreasing the complexity of algorithm. In this study, ours is the first paper to reveal the relation among the polynomial isometric nodes' function values during the application of the Lagrange interpolation algorithm. The formula is deduced which can describe the relation. Finally, the formula and it's corollary are strictly proved in the field of numerical calculation.