A Moment Problem for Discrete Nonpositive Measures on a Finite Interval

Joint Authors

Kalmykov, M. U.
Sidorov, S. P.

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-05-19

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract 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.

American Psychological Association (APA)

Kalmykov, M. U.& Sidorov, S. P.. 2011. A Moment Problem for Discrete Nonpositive Measures on a Finite Interval. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-8.
https://search.emarefa.net/detail/BIM-480317

Modern Language Association (MLA)

Kalmykov, M. U.& Sidorov, S. P.. A Moment Problem for Discrete Nonpositive Measures on a Finite Interval. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-8.
https://search.emarefa.net/detail/BIM-480317

American Medical Association (AMA)

Kalmykov, M. U.& Sidorov, S. P.. A Moment Problem for Discrete Nonpositive Measures on a Finite Interval. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-8.
https://search.emarefa.net/detail/BIM-480317

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-480317