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  Far East Journal of Mathematical Sciences (FJMS)  
 ISSN: 0972-0871
 
 
 

     Far East Journal of Mathematical Sciences (FJMS)
    Volume 30, Issue 2, Pages 253 - 274 (August 2008)


STABILITY THEOREM AND INVERSION ALGORITHM FOR A GENERALIZED MOMENT PROBLEM

María B. Pintarelli (Argentina) and Fernando Vericat (Argentina)

Received June 9, 2007

References:



[1] M. Abramowitz and L. A. Stegun, Handbook of Mathematical Functions, Dover, New York, 1972.

[2] N. I. Aheizer and M. Krein, Some questions in the theory of moments, Translations of Mathematical Monographs, Vol. 2, Amer. Math. Soc., Providence, R.I., 1962.

[3] N. I. Aheizer, The Classical Moment Problem, Olivier and Boyd, Edinburgh, 1965.

[4] M. V. Calandra, M. B. Pintarelli and F. Vericat, Statistical density estimation based on Hausdorff moment problem, submitted.

[5] H. W. Engl and C. W. Groetsch, eds., Inverse and Ill-Posed Problems, Academic Press, Boston, 1987.

[6] M. J. Fryer, A review of some non-parametric methods of density estimation, J. Inst. Math. Appl. 20 (1977), 335-354.

[7] E. T. Jaynes, Information theory and statistical mechanics I, Phys. Rev. 106 (1957), 620-630.

[8] R. Kress, Linear Integral Equations, Springer-Verlag, Berlin, 1989.

[9] R. D. Levine, An information theoretical approach to inversion problems, J. Phys. A 13 (1980), 91-108.

[10] L. R. Mead and N. Papanicolaou, Maximum entropy in the problem of moments, J. Math. Phys. 25 (1984), 2404-2417.

[11] J. A. Shohat and J. D. Tamarkin, The Problem of Moments, Math. Surveys, Amer. Math. Soc., Providence, RI, 1943.

[12] G. Talenti, Recovering a function from a finite number of moments, Inverse Problems 3 (1987), 501-517.

[13] J. M. Thompson and R. A. Tapia, Nonparametric Function Estimation, Modeling and Simulation, SIAM, Philadelphia, 1990.

[14] A. Tikhonov and V. Arsenine, Méthods de Résolution de Problèmes mal Posés, MIR, Moscow, 1976.

[15] L. R. G. Treloar, Introduction to Polymer Science, Wykeham Publications, London, 1970.

[16] G. A. Viano, Solution of the Hausdorff moment problem by use of Pollaczek polynomials, J. Math. Anal. Appl. 156 (1991), 410-427.

[17] W. Wertz, Statistical Density Estimation: A Survey, Vandenhoeck and Ruprecht, Gottingen, 1978.

[18] A. Wragg and D. C. Dowson, Fitting continuous probability density functions over using information theory ideas, IEEE Trans. Inform. Theory IT-16 (1970), 226-230.

Keywords and phrases: inverse moment problem, orthogonal functions, density estimation, integral equations of first kind.

 


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