Authors: Stolze, Joachim
Brandt, Uwe
Title: A new hierarchy of upper and lower bounds on expectation values
Language (ISO): en
Abstract: Upper and lower bounds are constructed for expectation values of functions of a real random variable with derivatives up to orderN+1 which are alternately negative and positive over the whole range of interest. The bounds are given by quadrature formulas with weights and abscissas determined by the firstN+1 moments of the underlying probability distribution. Application to a simple disordered phonon system yields sharp bounds on the specific heat.
URI: http://hdl.handle.net/2003/25416
http://dx.doi.org/10.17877/DE290R-166
Issue Date: 1981-03
Rights: © Springer-Verlag 1981
Publisher: Springer-Verlag
URL: http://dx.doi.org/10.1007/BF01295476
Citation: Brandt, Uwe; Stolze, Joachim: A new hierarchy of upper and lower bounds on expectation values. In: Zeitschrift für Physik B Nr. 1, Jg. 43(1981), S. 61-67 (1981), 10.1007/BF01295476.
Appears in Collections:Stolze, Joachim Prof. Dr.

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