Results 1 to 10 of about 111,636 (131)
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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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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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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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
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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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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
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