A Moment Problem for Discrete Nonpositive Measures on a Finite Interval
نویسندگان
چکیده
Copyright q 2011 M. U. Kalmykov and S. P. Sidorov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Wewill estimate the upper and the lower bounds of the integral ∫1 0 Ω 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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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2011 شماره
صفحات -
تاریخ انتشار 2011