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Inequalities for the polar derivative of a polynomial [PDF]
Mathematics and Statistics, 2013 14 ...
Rather, N. A., Gulzar, Suhail
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Effect of Structural Uncertainty in Passive Microwave Soil Moisture Retrieval Algorithm
Sensors, 2020 Passive microwave sensors use a radiative transfer model (RTM) to retrieve soil moisture (SM) using brightness temperatures (TB) at low microwave frequencies. Vegetation optical depth (VOD) is a key input to the RTM. Retrieval algorithms can analytically
Lanka Karthikeyan +3 more
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ON ZYGMUND–TYPE INEQUALITIES CONCERNING POLAR DERIVATIVE OF POLYNOMIALS [PDF]
Ural Mathematical Journal, 2021 Let \(P(z)\) be a polynomial of degree \(n\), then concerning the estimate for maximum of \(|P'(z)|\) on the unit circle, it was proved by S. Bernstein that \(\| P'\|_{\infty}\leq n\| P\|_{\infty}\). Later, Zygmund obtained an \(L_p\)-norm extension of this inequality.
Nisar Ahmad Rather +2 more
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Isomorphism of Compactifications of Vector Bundles Moduli: Nonreduced Moduli
Моделирование и анализ информационных систем, 2015 We continue the study of the compactification of the moduli scheme for Gieseker-semistable vector bundles on a nonsingular irreducible projective algebraic surface S with polarization L, by locally free sheaves.
N. V. Timofeeva
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Some Inequalities for the Polar Derivative of a Polynomial
Kragujevac Journal of Mathematics, 2003 Summary: Let \(P(z)\) be a polynomial of degree \(n\) which has no zeros in \(|z|
Gulzar, M. H. +2 more
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Polar cremona transformations and monodromy of polynomials [PDF]
Studia Scientiarum Mathematicarum Hungarica, 2010 Consider the gradient map associated to any non-constant homogeneous polynomial f ∈ ℂ[ x0 , ..., xn ] of degree d , defined by \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek ...
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3D mixed finite elements for curved, flat piezoelectric structures
International Journal of Smart and Nano Materials, 2019 The Tangential-Displacement Normal-Normal-Stress (TDNNS) method is a finite element method that was originally introduced for elastic solids and later extended to piezoelectric materials.
Martin Meindlhumer, Astrid Pechstein
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On Extremal Properties for the Polar Derivative of Polynomials
Analysis in Theory and Applications, 2011 Summary: If \(p(z)\) is a polynomial of degree \(n\) having all its zeros on \(|z|=k\), \(k\leq 1\), then it is known that \[ \max\limits_{|z|=1}|p'(z)|\leq \frac n {k^{n-1}+k^n}\max\limits_{|z|=1}|p(z)|. \] In this paper, we generalize the above inequality by extending it to the polar derivative of a polynomial of the type \(p(z)=c_nz^n +\sum\limits ...
Dewan, K. K., Ahuja, Arty
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3D Pattern Synthesis of Time-Modulated Conformal Arrays with a Multiobjective Optimization Approach
International Journal of Antennas and Propagation, 2014 This paper addresses the synthesis of the three-dimensional (3D) radiation patterns of the time-modulated conformal arrays. Due to the nature of periodic time modulation, harmonic radiation patterns are generated at the multiples of the modulation ...
Wentao Li +3 more
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