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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.
ISSN: 0161-1712
Appears in Collections:Brunel OA Publishing Fund
Dept of Mathematics Research Papers
Mathematical Sciences

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