Open AccessA Moment Problem for Discrete Nonpositive Measures on a Finite Interval
Author(s) -
M. U. Kalmykov,
Sergei Sidorov
Publication year - 2011
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2011/545780
Subject(s) - algorithm , computer science , mathematics
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 ofgeneralized convex functions, and satisfying certain moment conditions with respectto a given Chebyshev system. Then we apply these estimations to find the error ofoptimal shape-preserving interpolation
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom