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 |
Provenance: | 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. |
Files in This Item:
File | Description | Size | Format | |
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ANewHierarchyOfUpperAndLowerBounds.pdf | 540.36 kB | Adobe PDF | View/Open |
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