Academic Editor: Palle E. Jorgensen
Copyright © 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.
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.