A Moment Problem for Discrete Nonpositive Measures on a Finite Interval
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 th...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/545780 |
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| _version_ | 1849685357628489728 |
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| author | M. U. Kalmykov S. P. Sidorov |
| author_facet | M. U. Kalmykov S. P. Sidorov |
| author_sort | M. U. Kalmykov |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c3d4c669f64346e6a2d22baccd0089c8 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c3d4c669f64346e6a2d22baccd0089c82025-08-20T03:23:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/545780545780A Moment Problem for Discrete Nonpositive Measures on a Finite IntervalM. U. Kalmykov0S. P. Sidorov1Department of Mechanics and Mathematics, Saratov State University, Astrakhanskaya 83, Saratov 410060, RussiaSchool of Information Systems, Computing and Mathematics, Brunel University, Uxbridge UB8 3PH, UKWe 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.http://dx.doi.org/10.1155/2011/545780 |
| spellingShingle | M. U. Kalmykov S. P. Sidorov A Moment Problem for Discrete Nonpositive Measures on a Finite Interval International Journal of Mathematics and Mathematical Sciences |
| title | A Moment Problem for Discrete Nonpositive Measures on a Finite Interval |
| title_full | A Moment Problem for Discrete Nonpositive Measures on a Finite Interval |
| title_fullStr | A Moment Problem for Discrete Nonpositive Measures on a Finite Interval |
| title_full_unstemmed | A Moment Problem for Discrete Nonpositive Measures on a Finite Interval |
| title_short | A Moment Problem for Discrete Nonpositive Measures on a Finite Interval |
| title_sort | moment problem for discrete nonpositive measures on a finite interval |
| url | http://dx.doi.org/10.1155/2011/545780 |
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