BERNSTIEN AND TURAN TYPE INEQUALITIES FOR THE POLAR DERIVATIVE OF A
POLYNOMIAL Page 1 Nonlinear Functional Analysis and Applications Vol. 28, No. 1 (2023), pp …

IEEE Paper Template in A4 (V1) Page 1 International Journal of Mathematics Trends and
Technology- Volume20 Number1-April2015 ISSN: 2231-5373 http://www.ijmttjournal.org Page …

Some applications of Dubinin's lemma to rational functions with prescribed poles -
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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 …

By using a boundary refinement of the classical Schwarz lemma some results for the rational
functions with prescribed poles and restricted zeros have been proved. The estimates …

Let P (z) be a polynomial of degree at most n. We consider an operator D α which maps a
polynomial P (z) into D α P (z):= nP (z)+(α− z) P′(z) and prove results concerning the …

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) …

In this paper, we establish some new inequalities in the complex plane that are inspired by
some classical Turán-type inequalities that relate the norm of a univariate complex …

An Operator Preserving Inequalities Between Polynomials Page 1 Operator Preserving
Inequalities WM Shah and A. Liman vol. 9, iss. 1, art. 25, 2008 Title Page Contents ◀◀ ▶▶ …

By using lemmas of Dubinin and Osserman some results for rational functions with fixed
poles and restricted zeros are proved. The obtained results strengthen some known results …