Results 61 to 70 of about 111,882 (144)

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. \
openaire   +1 more source

Entanglement preparation using symmetric multiports

, 2010
We investigate the entanglement produced by a multi-path interferometer that is composed of two symmetric multiports, with phase shifts applied to the output of the first multiport.
A. Ekert, A.K. Ekert, B. Englert, B. He, C.H. Bennett, C.H. Bennett, C.S. Hamilton, D. Deutsch, E. Andersson, E. Andersson, G. Weihs, I. Jex, I. Jex, J. Dunningham, J. Eisert, J. Novotny, M. Reck, M. Zukowski, M.C. Tichy, M.S. Kim, N.G. Walker, O. Gühne, S.M. Tan, T. Brougham, T. Kiss, V. Košták, W.K. Wootters, Y.L. Lim, Y.L. Lim, Y.S. Weinstein   +29 more
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An Overview of Integral Quadratic Constraints for Delayed Nonlinear and Parameter-Varying Systems [PDF]

, 2015
A general framework is presented for analyzing the stability and performance of nonlinear and linear parameter varying (LPV) time delayed systems. First, the input/output behavior of the time delay operator is bounded in the frequency domain by integral ...
Pfifer, Harald, Seiler, Peter
core  

Dynamics of inequalities in geometric function theory

Journal of Inequalities and Applications, 2001
A domain in the complex plane which is star-like with respect to a boundary point can be approximated by domains which are star-like with respect to interior points. This approximation process can be viewed dynamically as an evolution of the null points
Reich Simeon, Elin Mark, Shoikhet David
doaj  

Sharp Estimates of Logarithmic Coefficients of Certain Class of Analytic Functions

پژوهش‌های ریاضی, 2020
Introduction Let  be the open unit disc in the complex plane  and  be the class of all functions of  which are analytic and normalized in  The subclass of consisting of all univalent functions  in  is denoted by  We say that a function  is said to be ...
Rahim Kargar, Ali Ebadian, Nader Kanzi
doaj  

More Theory About Infinite Numbers and Important Applications

Mathematics
In the author’s previous studies, new infinite numbers, their properties, and calculations were introduced. These infinite numbers quantify infinity and offer new possibilities for solving complicated problems in mathematics and applied sciences in which
Emmanuel Thalassinakis
doaj   +1 more source

From pseudo-holomorphic functions to the associated real manifold

, 2016
This paper studies first the differential inequalities that make it possible to build a global theory of pseudo-holomorphic functions in the case of one or several complex variables.
Esposito, Giampiero, Roychowdhury, Raju
core  

New Bernstein type inequalities for polynomials on ellipses [PDF]

New and sharp estimates are derived for the growth in the complex plane of polynomials known to have a curved majorant on a given ellipse. These so-called Bernstein type inequalities are closely connected with certain constrained Chebyshev approximation ...
Fischer, Bernd, Freund, Roland
core   +1 more source

Constructive Function Theory on Sets of the Complex Plane through Potential Theory and Geometric Function Theory

, 2006
This is a survey of some recent results concerning polynomial inequalities and polynomial approximation of functions in the complex plane. The results are achieved by the application of methods and techniques of modern geometric function theory and ...
Andrievskii, Vladimir
core   +2 more sources

Robust H_∞ Control of Discrete-Time Uncertain Systems Based on the Extended Finsler’s Lemma

IEEE Access
In this paper, the first contribution is the introduction of two novel conditions derived from the application of Finsler’s Lemma sequentially, which enable a new approach to controller design for discrete-time uncertain systems.
Eduardo Nunes Goncalves, Douglas Junio Pereira, Frederico Barcelos Dos Santos   +2 more
doaj   +1 more source