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摘要
In [S. Kumar and R. Lal, Generalizations of some polynomial inequalities, Int. Electron. J. Pure Appl. Math., 3, 2 (2011), 111-117.], Kumar and Lal provided an upper bound of a derivative for polynomial degree n having some of zeros at the origin and rest of zeros lying on or outside the boundary of a prescribed disk. In this paper, we present an upper bound of a derivative for polynomials p(z) = (z - z(m))(tm)(z - z(m-1))(tm-1) ... (z - z(0))(t0) (a(0) + Sigma(n-(tm+...+t0))(nu=mu)a(nu)z(nu)) of degree n having zeros z(0),...,z(m) with |z(j)| < 1 for 0 <= j <= m and the remaining n-(t(m)+...+t(0)) zeros are outside {z : |z| < k} where k >= 1.
- 出版日期2017-3
