Results 21 to 30 of about 57,513 (312)

Pistrix/Zeros-of-Eisenstein-Series: Interlacing Update

open access: yes, 2020
Improved computation speeds of zeros drastically and added interlacing checking ...
Trevor Griffin
core   +1 more source

Stability of Zeros for Sampled-Data Models with Triangle Sample and Hold Implemented by Zero-Order Hold

open access: yesMachines, 2022
This paper deals with the stability characteristics of zeros for sampled-data models with a class of triangle sample and hold realized by a traditional zero-order hold.
Minghui Ou   +6 more
doaj   +1 more source

On computing the zeros of periodic systems

open access: yes, 2002
We present an effcient and numerically reliable approach to compute the zeros of a periodic system. The zeros are defined in terms of the transfer-function matrix corresponding to an equivalent lifted statespace representation as constant system.
Dooren, P. Van   +6 more
core   +1 more source

Asymptotically extremal polynomials with respect to varying weights and application to Sobolev orthogonality [PDF]

open access: yes, 2008
9 pages, no figures.-- MSC2000 code: 33C45.MR#: MR2431543 (2009g:41009)Zbl#: Zbl 1155.33006We study the asymptotic behavior of the zeros of a sequence of polynomials whose weighted norms, with respect to a sequence of weight functions, have the same $n ...
Díaz Mendoza, Carlos J.   +3 more
core   +1 more source

REFINEMENT OF ERD ¨OS-LAX INEQUALITY FOR N-OPERATOR

open access: yesПроблемы анализа
Let 𝒫_𝑛 be the space of all polynomials of degree less than or equal to 𝑛. In this paper, we establish a refinement of Erd¨os-Lax inequality in which the classical derivative (as an operator on 𝒫_𝑛) is replaced by a 𝐵𝑛 operator.
F. A. Bhat
doaj   +1 more source

REFINEMENT OF SOME BERNSTEIN TYPE INEQUALITIES FOR RATIONAL FUNCTIONS

open access: yesПроблемы анализа, 2022
In this paper, we establish some Bernstein-type inequalities for rational functions with prescribed poles. These results refine prior inequalities on rational functions and strengthen many well-known polynomial inequalities.
Idrees Qasim
doaj   +1 more source

Higher Monotonicity Properties for Zeros of Certain Sturm-Liouville Functions

open access: yesMathematics, 2023
In this paper, we consider the differential equation y″+ω2ρ(x)y=0, where ω is a positive parameter. The principal concern here is to find conditions on the function ρ−1/2(x) which ensure that the consecutive differences of sequences constructed from the ...
Tzong-Mo Tsai
doaj   +1 more source

On invariant zeros of linear systems of PDEs

open access: yes, 2006
In this paper we provide a behavioral framework in which to describe and extend the concept of linear dynamics introduced by Fliess, from the one dimensional (1D) to the multidimensional (nD) framework.We provide an alternative description of the ...
ZARIS, P   +7 more
core   +1 more source

Spectral Analysis of Certain Schrödinger Operators

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
The J-matrix method is extended to difference and q-difference operators and is applied to several explicit differential, difference, q-difference and second order Askey-Wilson type operators.
Mourad E.H. Ismail, Erik Koelink
doaj   +1 more source

On the Zeros of Polynomials with Restricted Coefficients

open access: yesAnnales Mathematicae Silesianae, 2023
Let P(z)=∑j=0najzjP\left( z \right) = \sum\nolimits_{j = 0}^n {{a_j}{z^j}} be a polynomial of degree n such that an ≥ an−1 ≥ . . . ≥ a1 ≥ a0 ≥ 0. Then according to Eneström-Kakeya theorem all the zeros of P (z) lie in |z| ≤ 1.
Zargar B. A., Gulzar M. H., Ali M.
doaj   +1 more source

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