We use a generalization of an identity of Cesaro for deriving explicit bounds for the moduli of the zeros of a polynomial and we obtain a new bound ...

Dec 15, 2011 · In this paper, we develop methods for establishing improved bounds on the moduli of the zeros of complex and real polynomials.

Abstract— In this paper we find bounds for the moduli of the zeros of a polynomial in terms of its coefficients. The results so obtained generalize many results ...

Let the zeros of f(z) be denoted by zi, Z2, Z,n with 0 < f z1I. -fz21 Zn <-znf and let be and Bk (k=1, 2, ,n) be the minimum and maximum respectively of I ...

In this paper we prove some results concerning the bounds for the zeros of polynomials and as a special case obtain a generalization of the well-known Eneström- ...

Oct 18, 2023 · The upper and lower bounds theorem of polynomials (pictured) applies not only to rational roots, but also to the modulus of complex zeroes.

In this note, we provide a wide range of upper bounds for the moduli of the zeros of a complex polynomial. The obtained bounds complete a series of previous ...

In this paper, we prove a result concerning the location of the zeros of polynomials in an annulus involving binomial coefficients and (t,s)−Fibonacci ...

Oct 22, 2024 · In this paper, we develop methods for establishing improved bounds on the moduli of the zeros of complex and real polynomials.

Each of the following polynomials is accompanied by a list of upper bounds on the moduli of its zeros. Cauchy's bound ro is given first, followed by a table ...