A Moment Problem for Discrete Nonpositive Measures on a Finite Interval
2011 ◽
Vol 2011
◽
pp. 1-8
Keyword(s):
We will estimate the upper and the lower bounds of the integral∫01Ω(t)dμ(t), whereμruns 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.
1932 ◽
Vol 38
(4)
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pp. 269-271
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1988 ◽
Vol 25
(6)
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pp. 1453-1465
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2001 ◽
Vol 37
(3)
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pp. 271-288
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2008 ◽
Vol 54
(2)
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pp. 259-267
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1997 ◽
Vol 15
(1)
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pp. 1-17
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