Relation between Exponential Moment Problem and Classical Moment Problem

Authors

  • Ognyan Kounchev Bulgarian Academy of Sciences
  • Hermann Render University College Dublin, Ireland
  • Tsvetomir Tsachev Bulgarian Academy of Sciences

DOI:

https://doi.org/10.7546/CRABS.2025.07.01

Keywords:

exponential polynomials, Hausdorff moment problem, Stieltjes moment problem

Abstract

The main result of the paper is an interesting relation between the solution of the truncated exponential moment problem and truncated classical moment problem, considered on the half-line or on a compact interval.

Author Biographies

Ognyan Kounchev, Bulgarian Academy of Sciences

Mailing Address:
Institute of Mathematics and Informatics
Bulgarian Academy of Sciences
Akad. G. Bonchev St, Bl. 8
1113 Sofia, Bulgaria

E-mail: kounchev@math.bas.bg

Hermann Render, University College Dublin, Ireland

Mailing Address:
School of Mathematics and Statistics
University College Dublin
Belfield, Dublin 4, Ireland

E-mail: hermann.render@ucd.ie

Tsvetomir Tsachev, Bulgarian Academy of Sciences

Mailing Address:
Institute of Mathematics and Informatics
Bulgarian Academy of Sciences
Akad. G. Bonchev St, Bl. 8
1113 Sofia, Bulgaria

E-mail: tsachev@math.bas.bg

Downloads

Published

17-07-2025

How to Cite

[1]
O. Kounchev, H. Render, and T. Tsachev, “Relation between Exponential Moment Problem and Classical Moment Problem”, C. R. Acad. Bulg. Sci., vol. 78, no. 7, pp. 957–965, Jul. 2025.

Issue

Vol. 78 No. 7 (2025)

Section

Mathematics

License

Copyright (c) 2025 Proceedings of the Bulgarian Academy of Sciences

Copyright (c) 2022 Proceedings of the Bulgarian Academy of Sciences

Copyright is subject to the protection of the Bulgarian Copyright and Associated Rights Act. The copyright holder of all articles on this site is Proceedings of the Bulgarian Academy of Sciences. If you want to reuse any part of the content, please, contact us.