Results 11 to 20 of about 148,924,303 (243)

Weighted polynomial inequalities in the complex plane [PDF]

Journal of Approximation Theory, 2012
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Vladimir V Andrievskii
exaly   +5 more sources

Finite-infinite range inequalities in the complex plane [PDF]

International Journal of Mathematics and Mathematical Sciences, 1991
Let E⫅C be closed, ω be a suitable weight function on E, σ be a positive Borel measure on E. We discuss the conditions on ω and σ which ensure the existence of a fixed compact subset K of E with the following property.
H. N. Mhaskar
doaj   +2 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
Sanford Miller, Petru T Mocanu
exaly   +2 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
Sanford Miller, Petru T Mocanu
exaly   +3 more sources

Some Inequalities on Polynomials in the Complex Plane Concerning a Linear Differential Operator

Journal of Mathematics
In this paper, we consider new extremal problems in the uniform norm between a univariate complex polynomial and its associated reciprocal polynomial involving a generalized B-operator.
Mayanglambam Singhajit Singh, Madhav Prasad Poudel, Barchand Chanam   +2 more
doaj   +2 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.
exaly   +4 more sources

Bernstein-Walsh-type inequalities for derivatives of algebraic polynomials on the regions of complex plane

Turkish Journal of Mathematics, 2022
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.
Fahreddin Abdullayev
exaly   +3 more sources

Inequalities Involving Weighted Means in a Disc of the Complex Plane

Journal of Mathematical Analysis and Applications, 2000
For complex numbers \(z_j\), \(j=1,2,\dots,n\), such that \(|z_j-1|\leq r\), \(r\in(0,1)\), the author considers the weighted means: \(H:= (\sum^n_{j=1} \lambda_jz_j^{-1})\), \(G:=\prod^n_{j=1} z_j^{\lambda_j}\) and \(A: =\sum^n_{j=1} \lambda_jz_j\), where \(\lambda_j>0\), \(\lambda_1+ \cdots+ \lambda_n =1\). Among other results, he proves: Theorem 1. \
exaly   +2 more sources

On some inequalities for the two-parameter Mittag-Leffler function in the complex plane

Journal of Mathematical Analysis and Applications
For 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,
Stefan Gerhold, Roberto Garrappa, Marina Popolizio   +2 more
exaly   +5 more sources

Fejér-Type Inequalities (II) [PDF]

, 2009
In this paper, we establish some Fejér-type inequalities for convex functions.
Hwang, Shiow-Ru, Tseng, Kuei-Lin, Dragomir, Sever S   +2 more
core   +5 more sources