Let p (z)= a0+∑ ν= μnaνzν, 1⩽ μ⩽ n, be a polynomial of degree n such that p (z)≠ 0 in| z|<
k, k> 0, then for 0< r⩽ R⩽ k, Dewan, Yadav and Pukhta [KK Dewan, RS Yadav, MS Pukhta …

IMPROVED BOUNDS OF POLYNOMIAL INEQUALITIES WITH RESTRICTED ZERO Page 1
Nonlinear Functional Analysis and Applications Vol. 28, No. 2 (2023), pp. 421-437 ISSN …

INEQUALITIES FOR COMPLEX POLYNOMIAL WITH RESTRICTED ZEROS Page 1 Nonlinear
Functional Analysis and Applications Vol. 28, No. 4 (2023), pp. 943-956 ISSN: 1229-1595(print) …

Sharpening of Bernstein and Turán-type inequalities for polynomials Page 1 Journal of
Classical Analysis Volume 18, Number 2 (2021), 137–148 doi:10.7153/jca-2021-18-10 …

Abstract Let P (z)= a_ 0+ ∑ _ ν= μ^ n a_ ν z^ ν,~ 1 ≤ μ ≤ n, P (z)= a 0+∑ ν= μ na ν z ν, 1≤
μ≤ n, be a polynomial of degree nn such that P (z) ≠ 0 P (z)≠ 0 in| z|< k,~ k> 0,| z|< k, k> 0 …

Inequalities concerning b-operators – тема научной статьи по математике читайте бесплатно
текст научно-исследовательской работы в электронной библиотеке КиберЛенинка …

| P (z)|. In this paper we shall estimate M (P', ρ) in terms of M (P, r) where P (z) does not
vanish in the disk| z|≤ K, K≥ 1, 0≤ r< ρ< K and obtain an interesting refinement of some …

Let p (z) be a polynomial of degree n and α be any real or complex number, the polar
derivative of p (z), denoted by D α p (z), is defined as D α p (z)= np (z)+(α-z) p′(z). Let p (z) …

In this paper, we obtain the L^{q} version of the above inequality for q> 0. Further, we extend
a result of Aziz and Shah [3] into Lq analogue for q> 0. Our results not only extend some …

If P (z) is a polynomial of degree n, having no zeros in the unit disc, then for all α, β∈ C
with∣ α∣⩽ 1,∣ β∣⩽ 1, it is known that. for R⩾ 1 and∣ z∣⩾ 1. The present paper contains …