On q-Bessel Fourier analysis method for classical moment problem

2017 ◽  
Vol 11 (2) ◽  
pp. 163-177
Author(s):  
Lazhar Dhaouadi
Keyword(s):  
Fourier Analysis ◽  
Moment Problem ◽  
Analysis Method ◽  
Classical Moment Problem

Some generalizations of the classical moment problem

2002 ◽  
Vol 44 (3) ◽  
pp. 255-289 ◽  
Author(s):  
Yurij M. Berezansky
Keyword(s):  
Moment Problem ◽  
Classical Moment Problem

scholarly journals Existence Results for a Fully Fourth-Order Boundary Value Problem

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Yongxiang Li ◽  
Qiuyan Liang
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Boundary Value Problem ◽  
Fourier Analysis ◽  
Growth Condition ◽  
Fourth Order ◽  
Boundary Value ◽  
Existence Of Solution ◽  
Existence Results ◽  
Analysis Method

We discuss the existence of solution for the fully fourth-order boundary value problemu(4)=f(t,u,u′,u′′,u′′′),0≤t≤1,u(0)=u(1)=u′′(0)=u′′(1)=0. A growth condition onfguaranteeing the existence of solution is presented. The discussion is based on the Fourier analysis method and Leray-Schauder fixed point theorem.

scholarly journals Direct 2D spatial-coherence determination using the Fourier-analysis method: multi-parameter characterization of the P04 beamline at PETRA III

2020 ◽  
Vol 28 (5) ◽  
pp. 7282 ◽  
Author(s):  
Kai Bagschik ◽  
Jochen Wagner ◽  
Ralph Buß ◽  
Matthias Riepp ◽  
André Philippi-Kobs ◽  
...  
Keyword(s):  
Fourier Analysis ◽  
Spatial Coherence ◽  
Analysis Method

Motion at an Explosive Source as Deduced From Surface Waves

1960 ◽  
Vol 31 (1-2) ◽  
pp. 5-17
Author(s):  
Carl Kisslinger
Keyword(s):  
Fourier Analysis ◽  
Vertical Acceleration ◽  
Analysis Method ◽  
Phase Velocities ◽  
The Earth ◽  
Analysis Technique ◽  
Explosive Source ◽  
History Of ◽  
Frequency Components ◽  
Fourier Analysis Technique

Abstract The history of events occurring near the source following a small explosion has been deduced from the Rayleigh waves recorded at two distances. The Fourier analysis method developed by Sato, and Lamb’s solution for the displacement on a half-space have been employed in two distinct approaches to this problem. The displacement history from the first approach shows an essentially rectilinear vibration of the earth partiele, following the initial compression. The second technique yields the vertical point force equivalent to the explosion. The vertical acceleration at the source from the first method agrees fairly well in general form with the force found in the second. Information about the phase velocities and the initial phases of the constituent frequency components is a valuable by product of the Fourier analysis technique.

On Polynomial Maximum Entropy Method for Classical Moment Problem

2015 ◽  
Vol 8 (1) ◽  
pp. 117-127
Author(s):  
Jiu Ding ◽  
Noah H. Rhee ◽  
Chenhua Zhang
Keyword(s):  
Maximum Entropy ◽  
Moment Problem ◽  
Maximum Entropy Method ◽  
Entropy Method ◽  
Moment Problems ◽  
Monomial Basis ◽  
Ill Conditioning ◽  
Legendre Moment ◽  
Hausdorff Moment Problem ◽  
Classical Moment Problem

AbstractThe maximum entropy method for the Hausdorff moment problem suffers from ill conditioning as it uses monomial basis {1,x,x2,...,xn}. The maximum entropy method for the Chebyshev moment probelm was studied to overcome this drawback in. In this paper we review and modify the maximum entropy method for the Hausdorff and Chebyshev moment problems studied in and present the maximum entropy method for the Legendre moment problem. We also give the algorithms of converting the Hausdorff moments into the Chebyshev and Lengendre moments, respectively, and utilizing the corresponding maximum entropy method.

Sign in / Sign up

Export Citation Format

Share Document