A Moment Problem for Discrete Nonpositive Measures on a Finite Interval

M. U. Kalmykov and S. P. Sidorov

International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-8

Abstract:

We will estimate the upper and the lower bounds of the integral , where 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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:545780

DOI: 10.1155/2011/545780

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