Results 41 to 50 of about 111,882 (144)
Isoperimetric inequality fortorsional rigidity in the complex plane
Journal of Inequalities and Applications, 2001 The author gives sharp lower bounds for the ratio of the torsional rigidity of the new functionals introduced by \textit{F. G. Avkhadiev} [Solution of the generalized Saint-Venant problem, Mat. Sb. 189, No. 12, 3--12 (1998; Zbl 0939.74036)]. The obtained results are new.
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Some Estimates of the Growth of Polynomials in the Region with Piecewise Smooth Boundary
Cumhuriyet Science JournalIn this paper, we investigate inequalities for higher order derivatives of algebraic polynomials in weighted Lebesgue space. In doing so, using the weighted L_p-norm, we establish the growth of the modulus of the m-th derivatives of algebraic polynomials
Cevahir Doğanay Gün
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RESEARCH OF LOCOMOTIVE MECHANICS BEHAVIOR
Nauka ta progres transportu, 2018 Purpose. The main purpose of the study is to compare and confirm the results of theoretical studies of locomotive motion along the straight and curved track sections in the set range of operating speeds, which is essential for determining their dynamic ...
V. А. Tаtаrinоvа +2 more
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On approximating the nearest \Omega-stable matrix
, 2019 In this paper, we consider the problem of approximating a given matrix with a matrix whose eigenvalues lie in some specific region \Omega, within the complex plane. More precisely, we consider three types of regions and their intersections: conic sectors,
Choudhary, Neelam +2 more
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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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Contact equations, Lipschitz extensions and isoperimetric inequalities
, 2009 We characterize locally Lipschitz mappings and existence of Lipschitz extensions through a first order nonlinear system of PDEs. We extend this study to graded group-valued Lipschitz mappings defined on compact Riemannian manifolds.
Magnani, Valentino
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Inequalities for Rational Functions in the Complex plane
, 2023 Abstract In this paper, we establish inequalities for rational functions with prescribed poles, and zeros inside or outside a disk of radius k. We find generalized extension of the polynomial inequalities of Govil, 1973 and 1980, to rational functions.
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Hilbert transform in the complex plane and area inequalities for certain quadratic differentials. [PDF]
Michigan Mathematical Journal, 1987 The author studies the Hilbert transform \[ T_ E(z)=- \frac{1}{\pi}\iint_{B}\frac{\chi_ E(\zeta)d\mu (\zeta)}{(z-\zeta)^ 2}, \] where \(\chi_ E\) is the characteristic function of a measurable set E in the (open) unit disk B and \(d\mu\) (\(\zeta)\) is Lebesgue measure.
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Equivalence of the global and local Markov inequalities in the complex plane
Advances in Mathematics, 2019 A compact set $E$ in the complex plane is said to admit the \textit{global Markov inequality} $\text{GMI}(k)$, $k\geq1$, if there exists a constant $M\geq1$ such that \[ {\|p'\|}_{E}\leq Mn^k{\|p\|}_{E} \] holds for any polynomial $p$ of degree at most $n$. It admits the \textit{local Markov property} $\text{LMP}(m)$ if there exist constants $c,k\geq1$
Białas-Cież, Leokadia +1 more
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Large deviations of the empirical volume fraction for stationary Poisson grain models
, 2005 We study the existence of the (thermodynamic) limit of the scaled cumulant-generating function L_n(z)=|W_n|^{-1}\logE\exp{z|\Xi\cap W_n|} of the empirical volume fraction |\Xi\cap W_n|/|W_n|, where |\cdot| denotes the d-dimensional Lebesgue measure. Here
Heinrich, Lothar
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