Extremal Problems for a Polynomial and Its Polar Derivative
A Mir - Journal of Contemporary Mathematical Analysis …, 2023 - Springer
This paper considers the well known Erdős–Lax and Turán-type inequalities that relate the
uniform norm of a univariate complex coefficient polynomial to that of its derivative on the …
uniform norm of a univariate complex coefficient polynomial to that of its derivative on the …
On an operator preserving polynomial inequality of Paul Turán
SA Malik - … and Computational Sciences: Proceedings of The …, 2024 - degruyter.com
Let P (z)=∑ nv= 0 avzv be a polynomial of degree n and DαP (z)= nP (z)+(α− z) P′(z) is the
polar differentiation of P (z) with respect to point α, α∈ ℂ. Note that DαP (z) is a polynomial …
polar differentiation of P (z) with respect to point α, α∈ ℂ. Note that DαP (z) is a polynomial …
Generalization of some inequalities for the polar derivative of polynomials with restricted zeros
E Khojastehnezhad, M Bidkham - TWMS Journal of Applied and …, 2019 - dergipark.org.tr
If pz is a polynomial of degree n, then Govil [NK Govil, Some inequalities for derivative of
polynomials, J. Approx. Theory, 66 1991 29-35.] proved that if pz has all its zeros in| z|≤ k …
polynomials, J. Approx. Theory, 66 1991 29-35.] proved that if pz has all its zeros in| z|≤ k …
Turán-Type inequalities for polynomials with restricted Zeros-II
KK Dewan, A Ahuja - Journal of Interdisciplinary Mathematics, 2011 - Taylor & Francis
If is a polynomial of degree n, having all its zeros in| z|≤ k, k≤ 1, then it was shown by Govil
[Proc. Amer. Math. Soc., 41 (2)(1973), 543–546] that In this paper we generalize as well as …
[Proc. Amer. Math. Soc., 41 (2)(1973), 543–546] that In this paper we generalize as well as …