Positivity

, Volume 15, Issue 1, pp 17–48

Hausdorff means and moment sequences

Authors

    • Department of MathematicsIndiana University
Article

DOI: 10.1007/s11117-009-0039-y

Cite this article as:
Bennett, G. Positivity (2011) 15: 17. doi:10.1007/s11117-009-0039-y

Abstract

We prove Schur’s theorem on the complete symmetric functions by using Hausdorff means. This approach leads to a more general result and to some new properties of moment sequences.

Keywords

Moment sequence Hausdorff mean Complete symmetric function

Mathematics Subject Classification (2000)

40G05 30E05 05E05 26E60

Copyright information

© Birkhäuser Verlag Basel/Switzerland 2010