New bounds for the zeros of polynomials

In this paper new bounds for the zeros of polynomials are introduced. The proposed methodology can be applied to derive an infinite set of bounds for interior as well as extremum zeros. The results are obtained using higher order polynomial transformations for the zeros of a given polynomial. Based on these results, sharper circular bounds are derived and compared with many existing ones through several examples. We also derived new bounds for the minimum and maximum zeros of real polynomials with real zeros.