Results 11 to 20 of about 111,882 (144)
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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Weighted polynomial inequalities in the complex plane
Journal of Approximation Theory, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly +4 more sources
Second order differential inequalities in the complex plane
Journal of Mathematical Analysis and Applications, 1978 AbstractLet w(z) be regular in the unit disk U and let h(r, s, t) be a complex function defined in a domain of C3. The authors determine conditions on h such that ¦ h(w(z), zw′(z), z2w″(z))¦ < 1 implies ¦ w(z)¦ < 1 and such that Re h(w(z), zw′(z), z2w″(z)) > 0 implies Re w(z) > 0. Applications of these results to univalent function theory, differential
Miller, Sanford S, Mocanu, Petru T
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Differential subordinations and inequalities in the complex plane
Journal of Differential Equations, 1987 Let f and F be analytic in the unit disc U. The function f is subordinate to F, written \(f\prec F\) or f(z)\(\prec F(z)\), if F is univalent, \(f(0)=F(0)\) and f(U)\(\subset F(U)\). The authors deal with second order differential subordinations of the form \((1)\quad \psi (p(z),zp'(z),z^ 2p''(z);z)\prec h(z),\) where \(\psi\) : \({\mathbb{C}}^ 3\times
Miller, Sanford S, Mocanu, Petru T
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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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