Results 21 to 30 of about 451,380 (271)

Inequalities for the Polar Derivative of A Polynomial [PDF]

open access: yesMathematics and Statistics, 2013
IfP (z) = anz n + n P v= a n vz n v , 1 n, has all its zeros onjzj = k, k 1, then it was recently proved by Dewan and Ahuja (3) that for every real or complex number withj j k. maxzj=1 jD P (z)j n(j j +s )s k n +1 (1 +s ) maxzj=1 jP (z)j; In this paper, we improve the above result and obtain new inequality for the polar derivative of a polynomial.
Rather, N. A., Gulzar, Suhail
openaire   +3 more sources

An approximate solution of one singular integro-differential equation using the method of orthogonal polynomials

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2020
Two computational schemes for solving boundary value problems for a singular integro-differential equation, which describes the scattering of H-polarized electromagnetic waves by a screen with a curved boundary, are constructed.
Galina A. Rasolko, Sergei M. Sheshko
doaj   +1 more source

On the irrationality of moduli spaces of projective hyperk\"ahler manifolds [PDF]

open access: yesÉpijournal de Géométrie Algébrique
The aim of this paper is to estimate the irrationality of moduli spaces of hyperk\"ahler manifolds of types K3$^{[n]}$, Kum$_{n}$, OG6, and OG10. We prove that the degrees of irrationality of these moduli spaces are bounded from above by a universal
Daniele Agostini   +2 more
doaj   +1 more source

Inequalities for the polar derivative of a polynomial [PDF]

open access: yesThe Journal of Analysis, 2020
Let P(z) be a polynomial of degree n having all its zeros in $$|z|\le 1$$ , then according to Turan (Compositio Mathematica 7:89–95, 2004) $$\begin{aligned} \max \limits _{|Z|=1}|P'(z)|\ge ...
M. H. Gulzar, B. A. Zargar, Rubia Akhter
openaire   +1 more source

Square-rich fixed point polynomial evaluation on FPGAs [PDF]

open access: yes, 2014
Polynomial evaluation is important across a wide range of application domains, so significant work has been done on accelerating its computation. The conventional algorithm, referred to as Horner's rule, involves the least number of steps but can lead to
McLoughlin, Ian V.   +5 more
core   +1 more source

Effect of Structural Uncertainty in Passive Microwave Soil Moisture Retrieval Algorithm

open access: yesSensors, 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
doaj   +1 more source

Isomorphism of Compactifications of Vector Bundles Moduli: Nonreduced Moduli

open access: yesМоделирование 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
doaj   +1 more source

ON ZYGMUND–TYPE INEQUALITIES CONCERNING POLAR DERIVATIVE OF POLYNOMIALS [PDF]

open access: yesUral 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
openaire   +3 more sources

Spin polarized photoelectrons with unpolarized light in normal emission from Pt(110) [PDF]

open access: yes, 1994
Irmer N, Frentzen F, Schmiedeskamp B, Heinzmann U. Spin polarized photoelectrons with unpolarized light in normal emission from Pt(110). Surface Science.
Irmer, N.   +3 more
core   +1 more source

A two-variable approach to solve the polynomial Lyapunov equation

open access: yes, 2001
A two-variable polynomial approach to solve the one-variable polynomial Lyapunov equation is proposed. Lifting the problem from the one-variable to the two-variable context allows to use Faddeev-type recursions in order to solve the polynomial Lyapunov ...
Peeters, Ralf, Rapisarda, Paolo
core   +2 more sources

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