Please use this identifier to cite or link to this item:
doi:10.22028/D291-26168
Title: | On generalized Csiszár-Kullback inequalities |
Author(s): | Arnold, Anton Markowich, Peter Toscani, Giuseppe Unterreiter, Andreas |
Language: | English |
Year of Publication: | 2000 |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | The classical Csiszar-Kullback inequality bounds the L^{1}-distance of two probability densities in term of their relative (convex) entropies. Here we generalize such inequalities to not necessarily normalized and possibly non-positive L^{1} functions. Also, our generalized Csiszar-Kullback inequalities are in many important cases sharper than the classical ones (in terms of the functional dependence of the L^{1} bound on the relative entropy). Moreover our construction of these bounds is rather elementary. |
Link to this record: | urn:nbn:de:bsz:291-scidok-42902 hdl:20.500.11880/26224 http://dx.doi.org/10.22028/D291-26168 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 10 |
Date of registration: | 4-Nov-2011 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Mathematik |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
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File | Description | Size | Format | |
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preprint_10_00.pdf | 351,31 kB | Adobe PDF | View/Open |
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