Interpolation by polynomials in basis of a new computational approach

In this paper a new computational approach for interpolation of a function in a given value by polynomials is introduced. In our approach, the polynomials will not obtain and we introduce only a procedure to find value of interpolation polynomial in given value. We have compared our method to another approach to show the efficiency of our approach in reducing the number of operations, multiplications and summations, for interpolation of a function. The numerical example are given.