Zero-one IP problems: Polyhedral descriptions & cutting plane procedures [PDF]
, 1994 A systematic way for tightening an IP formulation is by employing classes of linear inequalities that define facets of the convex hull of the feasible integer points of the respective problems.
Mitra, G, Yarrow, L, Abdul-Hamid, F
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Estimates for the polar derivative of a constrained polynomial on a disk
Cubo, 2022 This work is a part of a recent wave of studies on inequalities which relate the uniform-norm of a univariate complex coefficient polynomial to its derivative on the unit disk in the plane.
Gradimir V. Milovanović +2 more
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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
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Some novel applications in relation with certain equations and inequalities in the complex plane [PDF]
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
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INEQUALITIES FOR A CLASS OF MEROMORPHIC FUNCTIONS WHOSE ZEROS ARE WITHIN OR OUTSIDE A GIVEN DISK
Ural Mathematical Journal, 2023 In this paper, we consider a class of meromorphic functions \(r(z)\) having an \(s\)-fold zero at the origin and establish some inequalities of Bernstein and Turán type for the modulus of the derivative of rational functions in the sup-norm on the disk ...
Mohd Yousf Mir +2 more
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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 ...
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Fejér-Type Inequalities (I) [PDF]
, 2009 In this paper, we establish some new Fejér-type inequalities for convex ...
Hwang, Shiow-Ru +2 more
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Equivalence of the Local Markov Inequality and a Kolmogorov Type Inequality in the Complex Plane [PDF]
Potential Analysis, 2012 Let \(m,\kappa\geq 1.\) A compact set \(E\subset\mathbb{C}\) is said to admit the local Markov property \(\mathrm{LMP}(m,\kappa)\) if, for all \( n\in\mathbb{N}\), \(z_0\in E\), \(r\in (0,1]\), the holomorphic polynomials \(P\) of degree at most \(n\) and \(j\in \mathbb{N}\) satisfy \[ |P^{(j)}(z_0)|\leq\left(\frac{c_1n^{\kappa}}{r^m}\right)^j\| P\|_{E\
Białas-Cież, Leokadia +1 more
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Optimal control of satellite system model using Linear Matrix inequality approach
Results in Control and Optimization, 2023 In this paper, a robust control strategy has been proposed for the satellite attitude control system, namely, ℋ∞with regional pole constraints. This design method has been applied to eliminate the effects of disturbances and uncertainties, which are ...
Ali Khudhair Al-Jiboory
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Applications of Inequalities in the Complex Plane Associated with Confluent Hypergeometric Function [PDF]
Symmetry, 2021 The idea of inequality has been extended from the real plane to the complex plane through the notion of subordination introduced by Professors Miller and Mocanu in two papers published in 1978 and 1981. With this notion came a whole new theory called the theory of differential subordination or admissible functions theory.
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