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http://bura.brunel.ac.uk/handle/2438/5608| Title: | A moment problem for discrete nonpositive measures on a finite interval |
| Authors: | Kalmykov, MU Sidorov, S |
| Issue Date: | 2011 |
| Publisher: | Hindawi Publishing Corporation |
| Citation: | International Journal of Mathematics and Mathematical Sciences, Article No. 545780, Mar 2011 |
| Abstract: | We will estimate the upper and the lower bounds of the integral ∫01Ω(t)dμ(t), where μ runs over all discrete measures, positive on some cones of generalized convex functions, and satisfying certain moment conditions with respect to a given Chebyshev system. Then we apply these estimations to find the error of optimal shape-preserving interpolation. |
| Description: | This article has been made available through the Brunel Open Access Publishing Fund. |
| URI: | http://bura.brunel.ac.uk/handle/2438/5608 http://www.hindawi.com/journals/ijmms/2011/545780/ |
| DOI: | http://dx.doi.org/10.1155/2011/545780 |
| ISSN: | 0161-1712 |
| Appears in Collections: | Brunel OA Publishing Fund Dept of Mathematics Research Papers Mathematical Sciences |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Fulltext.pdf | 510.03 kB | Adobe PDF | View/Open |
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