Bernstein and Turán-type inequalities for a polynomial with constraints on its zeros
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 …
uniform norm of a polynomial to that of its derivative on the unit circle in the plane. Here, we …
[PDF][PDF] Generalizations and sharpenings of certain Bernstein and Turán types of inequalities for the polar derivative of a polynomial
TB Singh, B Chanam - J. Math. Inequal, 2021 - files.ele-math.com
Generalizations and sharpenings of certain Bernstein and Turán types of inequalities for the
polar derivative of a polynomial Page 1 Journal of Mathematical Inequalities Volume 15 …
polar derivative of a polynomial Page 1 Journal of Mathematical Inequalities Volume 15 …
Inequalities of Turán-type for algebraic polynomials
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 …
some classical Turán-type inequalities that relate the norm of a univariate complex …
On the Erdös-Lax inequality and its various generalizations concerning polynomials
If P (z) is a polynomial of degree n having no zeros in| z|< 1, then Erdös conjectured and
later Lax (Bull. Amer. Math. Soc. 50 (1944) 509-513) proved that max| z|= 1| P′(z)|≤ n 2 …
later Lax (Bull. Amer. Math. Soc. 50 (1944) 509-513) proved that max| z|= 1| P′(z)|≤ n 2 …
Some integral mean inequalities concerning polar derivative of a polynomial
B Chanam, MT Devi, K Krishnadas, N Reingachan - J. Math. Comput. Sci., 2021 - scik.org
SOME INTEGRAL MEAN INEQUALITIES CONCERNING POLAR DERIVATIVE OF A
POLYNOMIAL Let Pn be the class of polynomials P(z) = ∑ cjzj o Page 1 Available online at …
POLYNOMIAL Let Pn be the class of polynomials P(z) = ∑ cjzj o Page 1 Available online at …
Extremal problems of Turán-type for a univariate complex coefficient polynomial
In this paper, we establish some new inequalities in the plane that are inspired by some
classical Turán-type inequalities that relate the norm of a univariate complex coefficient …
classical Turán-type inequalities that relate the norm of a univariate complex coefficient …
[PDF][PDF] Inequalities for the Derivative of a Polynomial
In this paper, we find a lower bound for the maximum moduli of the derivative and polar
derivative of a polynomial in terms of the moduli of the coefficients and the maximum …
derivative of a polynomial in terms of the moduli of the coefficients and the maximum …