A Moment Problem for Discrete Nonpositive Measures on a Finite Interval

الملخص EN

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.