The goal of this paper is to extend to the polar derivatives some previous inequalities
between the L^ γ L γ-norms of the derivative and of the polynomial itself, in case when the …

This paper considers the well known Bernstein and Turán-type inequalities that relate the
uniform norm of a polynomial to that of its derivative on the unit circle in the plane. Here, we …

Let P (z) be a polynomial of degree n and for any complex number α, let DαP (z):= nP
(z)+(α− z) P (z) denote the polar derivative of the polynomial P (z) with respect to α. In this …

For a polynomial p (z) of degree n, having all zeros in| z|< k, k< 1, Dewan et al [KK Dewan,
N. Singh and A. Mir, Extension of some polynomial inequalities to the polar derivative, J …

1 Introduction and statement of results Page 1 Bull. Math. Soc. Sci. Math. Roumanie Tome 62
(110) No. 2, 2019, 163–172 On Zygmund-type inequalities involving polar derivative of a …

AHMAD ZIREH1 AND MAHMOOD BIDKHAM2 Abstract. For a polynomial p (z) of degree n,
we consider an operator Dα which map a polynomial p (z) into Dαp (z):=(α− z) p (z)+ np (z) …

If P (z) is a polynomial of degree n, and α a complex number, then polar derivative of P (z)
with respect to the point α, denoted by D α P (z), is defined by D α P (z)= n P (z)+(α− z) …

It is well known that there are two important classes of analytic functions of Ma-Minda type
(MMT): Ma-Minda starlike and Ma-Minda convex functions. In this work, we suggest a new …

In this paper, we establish some new inequalities in the plane that are inspired by some
classical Bernstein-type inequalities that relate the sup-norm of a polynomial to that of its …

Convolution operators have profited in various areas of science. They are utilized in the
investigations of computing techniques. A new convolution operator linked to a specific class …