scholarly journals Maximum entropy and the moment problem

1987 ◽  
Vol 16 (1) ◽  
pp. 47-78 ◽  
Author(s):  
H. J. Landau
Keyword(s):  
Maximum Entropy ◽  
Moment Problem ◽  
The Moment

scholarly journals MAXIMUM ENTROPY FOR REDUCED MOMENT PROBLEMS

2000 ◽  
Vol 10 (07) ◽  
pp. 1001-1025 ◽  
Author(s):  
MICHAEL JUNK
Keyword(s):  
Maximum Entropy ◽  
Wide Class ◽  
Moment Problem ◽  
Entropy Solution ◽  
Unbounded Domains ◽  
Entropy Solutions ◽  
Moment Problems ◽  
Precise Condition ◽  
The Moment

The existence of maximum entropy solutions for a wide class of reduced moment problems on arbitrary open subsets of ℝd is considered. In particular, new results for the case of unbounded domains are obtained. A precise condition is presented under which solvability of the moment problem implies existence of a maximum entropy solution.

The moment problem on perfect hypergroups

2016 ◽  
Vol 29 (2) ◽  
pp. 232-236
Author(s):  
A. S. Okb El Bab ◽  
Hossam A. Ghany
Keyword(s):  
Moment Problem ◽  
The Moment

scholarly journals Applied Optimization and Approximation

2014 ◽  
Vol 3 (4) ◽  
pp. 37-48
Author(s):  
Octav Olteanu
Keyword(s):  
Optimal Control ◽  
Cost Function ◽  
Linear Function ◽  
Polynomial Approximation ◽  
Moment Problem ◽  
Quadratic Forms ◽  
Two Dimensional ◽  
Several Variables ◽  
Applied Optimization ◽  
The Moment

The present work deals with optimization in kinematics, generalizing previous results of the author. A second theme is maximizing the constrained gain linear function and minimizing the constrained cost function. Elementary notions of optimal control are considered as well. Finally, polynomial approximation results on unbounded subsets in several variables are applied to the moment problem. The existence of the solution of a two dimensional moment problem is characterized in terms of quadratic forms.

scholarly journals Maximum Entropy Principle within A Total Energy Scheme for Hot-carrier Transport in Semiconductor Devices

VLSI Design ◽  
2001 ◽  
Vol 13 (1-4) ◽  
pp. 381-386 ◽  
Author(s):  
M. Trovato ◽  
L. Reggiani
Keyword(s):  
Maximum Entropy ◽  
Carrier Transport ◽  
Maximum Entropy Principle ◽  
Average Energy ◽  
Band Model ◽  
Hot Carrier ◽  
Hydrodynamic Calculations ◽  
Entropy Principle ◽  
The Moment ◽  
Total Average

By extending the maximum entropy principle within a scheme in total average energy we obtain a closed system of hydrodynamic equations for a full nonparabolic band model in which all the unknown constitutive functions are completely determined. The theory is validated by comparing hydrodynamic calculations with Monte Carlo simulations performed for bulk and submicron Si structures at 300 K. In the general framework of the moment theory a systematic study of small-signal response functions is provided.

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