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 |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |