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
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Some Inequalities on Polynomials in the Complex Plane Concerning a Linear Differential Operator
Journal of MathematicsIn 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 +2 more
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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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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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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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Prabhakar Functions of Le Roy Type: Inequalities and Asymptotic Formulae
Mathematics, 2023 In this paper, the four-index generalization of the classical Le Roy function is considered on a wider set of parameters and its order and type are given.
Jordanka Paneva-Konovska
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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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Study on new integral operators defined using confluent hypergeometric function
Advances in Difference Equations, 2021 Two new integral operators are defined in this paper using the classical Bernardi and Libera integral operators and the confluent (or Kummer) hypergeometric function.
Georgia Irina Oros
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On the controllability of a singular nonregular methaniser system
Scientific Reports, 2023 The control and command of singular systems of non-regular type pose very complex problems for automation engineers. The classic concepts of controllability are not applicable because of the non-regularity of the response of such systems whose internal ...
Zied Tmar, Taieb Wafi, Mongi Besbes
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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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