Results 21 to 30 of about 2,863 (255)
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 +3 more sources
AIMS Mathematics, 2021 <abstract><p>The results presented in this paper highlight the property of the Gaussian hypergeometric function to be a Carathéodory function and refer to certain differential inequalities interpreted in form of inclusion relations for subsets of the complex plane using the means of the theory of differential superordination and the method ...
Georgia Irina Oros
openaire +5 more sources
Some novel applications in relation with certain equations and inequalities in the complex plane
Mathematical Communications, 2018 The aim of this investigation is first to reveal some novel and nonlinear applications relating to certain equations and inequalities in the complex plane and then to present a number of special consequences of them as examples.
Irmak, Huseyin, Huseyin Irmak
openaire +5 more sources
Applied Sciences, 2020 This paper proposes a novel method for pole placement in linear vibrating systems through state feedback and rank-one control. Rather than assigning all the poles to the desired locations of the complex plane, the proposed method exactly assigns just the
Roberto Belotti +3 more
doaj +1 more source
Inequalities for rational functions in the complex plane
Filomat, 2023 This paper investigates inequalities for rational functions with prescribed poles and zeros located inside or outside a disk of radius k. We extend classical polynomial inequalities due to Govil (1973, 1980) to the setting of rational functions. In particular, we establish a relationship between the maximum modulus of a rational function on the circle ...
openaire +1 more source
Isoperimetric inequalities in the plane [PDF]
, 2022 Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Joaquim Ortega Cerdà[en] The main goal of this work is to study different geometric inequalities in the plane.
Pol Blesa, Bernat
core
IET Control Theory & Applications, 2021 Here it is assumed that the characteristic function of a linear control system, which is in the form of a polynomial and its coefficients are desired affine functions of unknown parameters of controller, is given.
Farshad Merrikh‐Bayat
doaj +1 more source
IEEE Access, 2022 This paper proposes a new design and practical implementation of a robust ${\mathcal H}_{\infty }$ control applied to some mechanical systems considering in the controller design full access to the state variables and in the equivalent controller ...
Lucas M. Esteves +6 more
doaj +1 more source
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
The Ptolemaean inequality in the closure of complexhyperbolic planes
TURKISH JOURNAL OF MATHEMATICS, 2017 11 ...
Platis, Ioannis D., Sonmez, Nilgun
openaire +3 more sources