Results 21 to 30 of about 111,755 (250)
Jackson’s inequality in the complex plane and the Łojasiewicz–Siciak inequality of Green’s function
Journal of Approximation Theory, 2016 We prove a generalization of Dunham Jackson's famous approximation inequality to the case of compact sets in the complex plane admitting both upper and lower bounds for their Green's functions, i.e. the well known Holder Continuity Property (HCP) and the less known but crucial Lojasiewicz-Siciak inequality (LS).
Białas-Cież, Leokadia +1 more
openaire +4 more sources
An inequality for length and volume in the complex projective plane [PDF]
Geometriae Dedicata, 2020 10 pages; to appear in Geometriae ...
openaire +2 more sources
Weighted polynomial inequalities in the complex plane
Journal of Approximation Theory, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +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
Miller, Sanford S, Mocanu, Petru T
openaire +1 more source
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
openaire +2 more sources
Remez-type inequalities and their applications [PDF]
, 1993 The Remez inequality gives a sharp uniform bound on [−1, 1] for real algebraic polynomials p of degree at most n if the Lebesgue measure of the subset of [−1, 1], where |;p|; is at most 1, is known.
Erdélyi, Tamás
core +1 more source
Discrete concavity and the half-plane property [PDF]
, 2009 Murota et al. have recently developed a theory of discrete convex analysis which concerns M-convex functions on jump systems. We introduce here a family of M-concave functions arising naturally from polynomials (over a field of generalized Puiseux series)
Buch A. S. +4 more
core +3 more sources
Spectral decomposition of Bell's operators for qubits [PDF]
, 2001 The spectral decomposition is given for the N-qubit Bell operators with two observables per qubit. It is found that the eigenstates (when non-degenerate) are N-qubit GHZ states even for those operators that do not allow the maximal violation of the ...
Belinskii A V +8 more
core +3 more sources
Extracta MathematicaeThe objective of this paper is to establish initial coefficient inequalities, Upper bounds to the Hankel and Toeplitz determinants for certain normalized univalent functions defined on the open unit disk D in the complex plane related to the analytic ...
R. Rudrani +2 more
doaj +1 more source
Distortion of boundary sets under inner functions and applications [PDF]
, 1992 10 pages, no figures.-- MSC2000 codes: 30C85, 30D50.MR#: MR1183352 (93k:30014)Zbl#: Zbl 0765.30011An inner function is a bounded holomorphic function from the unit disc $\Delta$ of the complex plane such that the radial boundary values have modulus 1 a.e.
Fernández, José L., Pestana, Domingo
core +2 more sources