On best one-sided approximation by spline polynomials in weighted space Lp,w(X)

2014 ◽  
Vol 1 (3) ◽  
pp. 1-9
Author(s):  
Alaa. Auad ◽  
◽  
S. Jassim
Keyword(s):  
Weighted Space

Approximation properties of Szász type operators involving Charlier polynomials

Filomat ◽  
2017 ◽  
Vol 31 (2) ◽  
pp. 479-487
Author(s):  
Didem Arı
Keyword(s):  
Asymptotic Formula ◽  
Weighted Space ◽  
Approximation Properties ◽  
Charlier Polynomials

In this paper, we give some approximation properties of Sz?sz type operators involving Charlier polynomials in the polynomial weighted space and we give the quantitative Voronovskaya-type asymptotic formula.

scholarly journals On the focusing energy-critical inhomogeneous NLS: Weighted space approach

2021 ◽  
Vol 205 ◽  
pp. 112261
Author(s):  
Yonggeun Cho ◽  
Kiyeon Lee
Keyword(s):  
Weighted Space ◽  
Space Approach

Random exponential attractor for second-order nonautonomous stochastic lattice systems with multiplicative white noise

2019 ◽  
Vol 19 (06) ◽  
pp. 1950044
Author(s):  
Haijuan Su ◽  
Shengfan Zhou ◽  
Luyao Wu
Keyword(s):  
White Noise ◽  
Weighted Space ◽  
Sufficient Conditions ◽  
Second Order ◽  
Lattice System ◽  
Exponential Attractor ◽  
Lattice Systems ◽  
Random System ◽  
Multiplicative White Noise ◽  
Infinite Sequences

We studied the existence of a random exponential attractor in the weighted space of infinite sequences for second-order nonautonomous stochastic lattice system with linear multiplicative white noise. Firstly, we present some sufficient conditions for the existence of a random exponential attractor for a continuous cocycle defined on a weighted space of infinite sequences. Secondly, we transferred the second-order stochastic lattice system with multiplicative white noise into a random lattice system without noise through the Ornstein–Uhlenbeck process, whose solutions generate a continuous cocycle on a weighted space of infinite sequences. Thirdly, we estimated the bound and tail of solutions for the random system. Fourthly, we verified the Lipschitz continuity of the continuous cocycle and decomposed the difference between two solutions into a sum of two parts, and carefully estimated the bound of the norm of each part and the expectations of some random variables. Finally, we obtained the existence of a random exponential attractor for the considered system.

scholarly journals Norm and Essential Norm of Composition Followed by Differentiation from Logarithmic Bloch Spaces toHμ∞

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Shanli Ye
Keyword(s):  
Lower Bound ◽  
Unit Disk ◽  
Weighted Space ◽  
Bloch Space ◽  
Essential Norm ◽  
Bloch Spaces

In this note we express the norm of composition followed by differentiationDCφfrom the logarithmic Bloch and the little logarithmic Bloch spaces to the weighted spaceHμ∞on the unit disk and give an upper and a lower bound for the essential norm of this operator from the logarithmic Bloch space toHμ∞.

scholarly journals Approximation properties of modified Szász–Mirakyan operators in polynomial weighted space

2015 ◽  
Vol 2 (1) ◽  
pp. 1106195
Author(s):  
Prashantkumar Patel ◽  
Vishnu Narayan Mishra ◽  
Mediha Örkcü ◽  
Lishan Liu
Keyword(s):  
Weighted Space ◽  
Approximation Properties

scholarly journals Spectrum of the M5-traveling waves

2020 ◽  
Vol 15 ◽  
pp. 66
Author(s):  
Salvador Cruz-García
Keyword(s):  
Essential Spectrum ◽  
Traveling Waves ◽  
Imaginary Axis ◽  
Weighted Space ◽  
Cell Movement ◽  
Mesenchymal Cell ◽  
Weight Functions ◽  
Dimensional Version ◽  
The One ◽  
Linearized Operator

In this paper, we study the essential spectrum of the operator obtained by linearizing at traveling waves that occur in the one-dimensional version of the M5-model for mesenchymal cell movement inside a directed tissue made up of highly aligned fibers. We show that traveling waves are spectrally unstable in L2(ℝ; ℂ3) as the essential spectrum includes the imaginary axis. Tools in the proof include exponential dichotomies and Fredholm properties. We prove that a weighted space Lw2(ℝ; ℂ3) with the same function for the tree variables of the linearized operator is no suitable to shift the essential spectrum to the left of the imaginary axis. We find a pair of appropriate weight functions whereby on the weighted space Lwα2(ℝ; ℂ2) × Lwε2(ℝ; ℂ) the essential spectrum lies on {Reλ<0}, outside the imaginary axis.

scholarly journals Linear diffusion with singular absorption potential and/or unbounded convective flow: The weighted space approach

2018 ◽  
Vol 38 (2) ◽  
pp. 509-546 ◽  
Author(s):  
Jesus Ildefonso Díaz ◽  
◽  
David Gómez-Castro ◽  
Jean Michel Rakotoson ◽  
Roger Temam ◽  
...  
Keyword(s):  
Convective Flow ◽  
Weighted Space ◽  
Linear Diffusion ◽  
Absorption Potential ◽  
Space Approach

scholarly journals Approximation by a generalization of the Jakimovski-Leviatan operators

Filomat ◽  
2019 ◽  
Vol 33 (8) ◽  
pp. 2345-2353 ◽  
Author(s):  
Didem Ari ◽  
Sevilay Serenbay
Keyword(s):  
Weighted Space ◽  
Degree Of Convergence

In this paper, we introduce a Kantorovich type generalization of Jakimovski-Leviatan operators constructed by A. Jakimovski and D. Leviatan (1969) and the theorems on convergence and the degree of convergence are established. Furthermore, we study the convergence of these operators in a weighted space of functions on [0,1).

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