Results 11 to 20 of about 2,863 (255)
Weighted polynomial inequalities in the complex plane
Journal of Approximation Theory, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vladimir Andrievskii
exaly +5 more sources
Differential subordinations and inequalities in the complex plane
Journal of Differential Equations, 1987 Let f and F be analytic in the unit disc U. The function f is subordinate to F, written \(f\prec F\) or f(z)\(\prec F(z)\), if F is univalent, \(f(0)=F(0)\) and f(U)\(\subset F(U)\). The authors deal with second order differential subordinations of the form \((1)\quad \psi (p(z),zp'(z),z^ 2p''(z);z)\prec h(z),\) where \(\psi\) : \({\mathbb{C}}^ 3\times
Miller, Sanford S, Mocanu, Petru T
exaly +4 more sources
Second order differential inequalities in the complex plane
Journal of Mathematical Analysis and Applications, 1978 AbstractLet w(z) be regular in the unit disk U and let h(r, s, t) be a complex function defined in a domain of C3. The authors determine conditions on h such that ¦ h(w(z), zw′(z), z2w″(z))¦ < 1 implies ¦ w(z)¦ < 1 and such that Re h(w(z), zw′(z), z2w″(z)) > 0 implies Re w(z) > 0. Applications of these results to univalent function theory, differential
Miller, Sanford S, Mocanu, Petru T
exaly +5 more sources
On some inequalities for the two-parameter Mittag-Leffler function in the complex plane [PDF]
Journal of Mathematical Analysis and ApplicationsFor the two-parameter Mittag-Leffler function $E_{α,β}$ with $α> 0$ and $β\ge 0,$ we consider the question whether $|E_{α,β}(z)|$ and $E_{α,β}(\Re z)$ are comparable on the whole complex plane. We show that the inequality $|E_{α,β}(z)|\le E_{α,β}(\Re z)$ holds globally if and only if $E_{α,β}(-x)$ is completely monotone on $(0,\infty)$. For $α\in [1,
Garrappa, Roberto +3 more
exaly +8 more sources
S. N. Bernstein Type Estimations in the Mean on the Curves in a Complex Plane [PDF]
Abstract and Applied Analysis, 2009 The present paper discusses in the metric Lp S. N. Bernstein type inequalities of the most general kind on very general accessible classes of curves in a complex plane. The obtained estimations, generally speaking, are not improvable.
J. I. Mamedkhanov, I. B. Dadashova
doaj +2 more sources
Certain nth Order Differential Inequalities in the Complex Plane [PDF]
Canadian Mathematical Bulletin, 1978 AbstractLet w(z) be regular in the unit disc U:|z|<l, with w(0) = 0 and let h(r, s, t) be a complex function defined in a domain D of C3. The author determines conditions on h such that ifz∈U, then |w(z)|< 1 for z ∈ U and n= 0, 1, 2, …. Here Dnw(z) = (z/(l-z)n+1*w(z), where * stands for the Hadamard product (convolution). Some applications of the
H. S. Al-Amiri
openaire +2 more sources
Some differential inequalities in the complex plane
Filomat, 2017 In the present paper, we obtain some new results by applying well-known Jack?s lemma. Moreover, the second-order differential subordinations associated with convex functions are also considered.
Nunokawa, Mamoru +4 more
openaire +4 more sources
Uniform and pointwise Bernstein-Walsh-type inequalities on a quasidisk in the complex plane [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdullayev, F.G., Özkartepe, P.
openaire +5 more sources
Turkish Journal of Mathematics, 2022 Summary: In this paper, we study Bernstein-Walsh-type estimates for the derivatives of an arbitrary algebraic polynomial on some general regions of the complex plane.
Özkartepe, Naciye Pelin +2 more
openaire +4 more sources
Hilbert transform in the complex plane and area inequalities for certain quadratic differentials. [PDF]
Michigan Mathematical Journal, 1987 The author studies the Hilbert transform \[ T_ E(z)=- \frac{1}{\pi}\iint_{B}\frac{\chi_ E(\zeta)d\mu (\zeta)}{(z-\zeta)^ 2}, \] where \(\chi_ E\) is the characteristic function of a measurable set E in the (open) unit disk B and \(d\mu\) (\(\zeta)\) is Lebesgue measure.
Tadeusz Iwaniec
openaire +5 more sources