Results 241 to 250 of about 148,995,678 (263)

On the generalizations of polynomial inequalities in the complex domain

Journal of Contemporary Mathematical Analysis, 2015
The author generalizes ``Bernstein-type'' inequalities for polynomials having zeros in the closed interior of a circle or the closed exterior of a circle [\textit{S. Bernstein}, C. R. Acad. Sci., Paris 190, 338--341 (1930; JFM 56.0301.02)]. The classical theorem is: Let \(P(z)\) be a polynomial of degree \(n\), then \[ \max_{|z|=1}|P'(z)|\leq n\max_{|z|
exaly   +3 more sources

Inequalities for the Growth of a Polynomial in the Complex Domain

Siberian Mathematical Journal
Abdullah Mir
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Bernstein–Nikol’skii-Type Inequalities for Algebraic Polynomials from the Bergman Space in Domains of the Complex Plane

Ukrainian Mathematical Journal, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdullayev, F. G., Gün, C. D.
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Inequalities concerning polynomials in the complex domain

Analysis and Mathematical Physics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Chebyshev Design of Complex FIR Filters with Equality-and-Inequality Constraints in Frequency Domain

2009 Second International Conference on Intelligent Computation Technology and Automation, 2009
The Chebyshev design of complex finite impulse response (FIR) filters with frequency equality-and-inequality constraints is considered in this paper. Firstly, a sufficient condition for the optimal solution to such design problems is established. According to the condition, we then extend the algorithm proposed in [9] from the inequality constrained ...
Ruijie Zhao, Xiaoping Lai
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THE BERNSTEIN TYPE INEQUALITY AND SIMULTANEOUS APPROXIMATION BY INTERPOLATION POLYNOMIALS IN COMPLEX DOMAIN

Acta Mathematica Scientia, 1991
For the Chebyshev system of nodes on internal \(I=[-1,1]\), \textit{A. G. Ramm} [Bull. Lond. Math. Soc. 9, 283-288 (1977; Zbl 0373.41004)] investigated the problem of approximation of the functions and its derivatives by the interpolation polynomials and its derivatives respectively.
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The Closed Range Property and Gaffney's Inequality of the De Rham Complex in Unbounded Domains

The classical Poincaré estimate establishes closedness of the range of the gradient in unweighted $L^2(Ω)$-spaces as long as $Ω\subseteq\mathbb{R}^3$ is contained in a slab, that is, $Ω$ is bounded in one direction. Here, as a main observation, we provide closed range results for the $\operatorname{rot}$-operator, if (and only if) $Ω$ is bounded in two
Pauly, Dirk, Waurick, Marcus
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On the critical behavior for inhomogeneous wave inequalities with Hardy potential in an exterior domain

Advances in Nonlinear Analysis, 2021
Calogero Vetro, Mohamed Jleli, Bessem Samet   +2 more
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On the critical curve for systems of hyperbolic inequalities in an exterior domain of the half-space

Journal of Mathematical Analysis and Applications, 2023
Calogero Vetro, Mohamed Jleli, Bessem Samet   +2 more
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Some Inequalities for Elementary Symmetric Polynomials in the Complex Domain

2018
Miloš Arsenović, Radoš Bakić
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