Uniform convergence for moment problems with Fermi-Dirac type entropies

1. Borwein JM, Lewis AS (1991) Convergence of best entropy estimates. SIAM J Optim 1(2):191–205

   Google Scholar 

2. Borwein JM, Lewis AS (1991) Duality relationships for entropy-like minimization problems. SIAM Journal of Control Theory and Optimization 29(2):325–338

   Google Scholar 

3. Borwein JM, Lewis AS (1991) On the convergence of moment problems. Trans of Amer Math Soc 325(1):249–271

   Google Scholar 

4. Borwein JM, Lewis AS (1993) A survey of convergence results for maximum entropy methods, 39–48. In: Mohammad-Djafari A, Demoments G (Ed) Maximum entropy and Bayesian Methods Kluwer Dordrecht

   Google Scholar 

5. Borwein JM, Lewis AS (1992) Strong rotundity and optimization. SIAM J on Optimization (accepted)

6. Borwein P, Lewis AS Moment-matching and best entropy estimation. J of Mathematical Analysis and Applications (submitted)

7. Forte B, Hughes W, Pales Z (1989) Maximum entropy estimators and the problem of moments. Rendiconti di Mathematica Serie VII, 9:689–699

   Google Scholar 

8. Huang W (1993) Linearly constrained convex programming of entropy type: Convergence and algorithms. PhD thesis Dalhousie University Canada

   Google Scholar 

9. Lewis AS (1992) The convergence of Burg and other entropy estimates. Technical Report CORR 92-08

10. Mead LR, Papanicolaou N (1984) Maximum entropy in the problem of moments. J Math Phys 25:2404–2417

    Google Scholar 

11. Rockafellar RT (1970) Convex analysis. Princeton University Press

12. Teboulle M, Vajda I (1992) Convergence of bestø-entropy estimates. IEEE Transactions on Information Theory (to appear)

13. Telyakovskii SA (1990) Research in the theory of approxmation of functions at the Mathematical Institute of the Academy of Sciences. Proceedings of the Steklov Institute of Mathematics 1

14. Visintin A (1984) Strong convergence results related to strict convexity. Communications on Partial Differential Equations 9:439–466

    Google Scholar 

Download references