Results 11 to 20 of about 42,824 (260)

Research on the Robustness of Focus Measure Operators Based on RRMSE [PDF]

Sensors
This paper establishes a quantitative relationship model between the relative root mean square error (RRMSE) and noise parameters under the additive white Gaussian noise model.
Weiying Piao, Chunxue Wang, Yongqi Han
doaj   +2 more sources

Asymptotics and Confluence for a Singular Nonlinear q-Difference-Differential Cauchy Problem

Abstract and Applied Analysis, 2022
We examine a family of nonlinear q−difference-differential Cauchy problems obtained as a coupling of linear Cauchy problems containing dilation q−difference operators, recently investigated by the author, and quasilinear Kowalevski type problems that ...
S. Malek
doaj   +1 more source

A Lower Bound for the Differences of Powers of Linear Operators [PDF]

Acta Mathematica Sinica, English Series, 2006
The authors prove that, if \(L\) is a quasi-nilpotent bounded linear operator in a Banach space \(X\) such that \(L \neq 0\), then \[ \liminf_{n\to\infty}(n+1)\|(I-L)^nL\|\geq {\frac{1}{e}}. \] They also prove that, for any \(T\in {\mathcal L}(X)\), either (i) \(\limsup_{n\to\infty}(n+1)\|(I-T)T^n\|\geq \frac{1}{e}\), or (ii) \(\limsup_{n\to\infty}(n+1)
Malinen Jarmo, Turunen Ville, Nevanlinna Olavi, Yuan Zhijian   +3 more
openaire   +2 more sources

Estimates for the differences of positive linear operators and their derivatives [PDF]

Numerical Algorithms, 2019
The present paper deals with the estimate of the differences of certain positive linear operators and their derivatives. Our approach involves operators defined on bounded intervals, as Bernstein operators, Kantorovich operators, genuine Bernstein-Durrmeyer operators, Durrmeyer operators with Jacobi weights. The estimates in quantitative form are given
Ana Maria Acu, Ioan Rasa
openaire   +2 more sources

On regular operators on Banach Lattices

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023
Let E and F be Banach lattices and X and Y be Banach spaces. A linear operator T:E->F is called regular if it is the difference of two positive operators. We show that F has a b-property if and only if Lr(E,F) has b-property.
Omer Gok
doaj   +1 more source

Entire functions of restricted hyper-order sharing a set of two small functions IM with their linear c-shift operators [PDF]

Arab Journal of Mathematical Sciences, 2022
Purpose – The paper aims to build the relationship between an entire function of restricted hyper-order with its linear c-shift operator. Design/methodology/approach – Standard methodology for papers in difference and shift operators and value ...
Abhijit Banerjee, Arpita Roy
doaj   +1 more source

On difference of bivariate linear positive operators

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2022
In the present paper we give quantitative type theorems for the differences of different bivariate positive linear operators by using weighted modulus of continuity. Similar estimates are obtained via K-functional and for Chebyshev functionals. Moreover, an example involving Szasz and Szasz-Kantorovich operators is given.
AREMU, Saheed Olaosebikan, OLGUN, Ali
openaire   +4 more sources

Comparative Study on the Effect of Shape Complexity on the Efficiency of Different Overlay Analysis Algorithms

IEEE Access, 2021
Polygon shape is an important factor affecting the efficiency of vector polygon overlay analysis. Aiming at the problems that polygon shape is difficult to accurately measure and different algorithms have different sensitivities to the same polygon in ...
Peng Zhang, Junfu Fan, Panpan Zhang, Zhikun Zhang, Zheng Chen, Liusheng Han   +5 more
doaj   +1 more source

Linear Differential-Difference Operators and their Adjoints [PDF]

Proceedings of the American Mathematical Society, 1970
The formal adjoint for a first order matrix differential-difference operator is shown to be a true Hilbert space adjoint, and conditions under which such operators are selfadjoint (in a Hilbert space sense) are derived. Differential-difference operators whose domains are defined by a given initial function cannot be selfadjoint, whereas certain ...
openaire   +1 more source

Study of the property (bz) using local spectral theory methods

Arab Journal of Basic and Applied Sciences, 2023
For a bounded linear operator, by local spectral theory methods, we study the property [Formula: see text] which means that the difference of the approximate point spectrum with the upper semi-Fredholm spectrum coincides with the set of all finite-range ...
Elvis Aponte, Jose Soto, Ennis Rosas
doaj   +1 more source