On generalized absolutely monotone functions

D. Amir*, Z. Ziegler

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Sufficient conditions for generalized absolutely monotone functions to possess a Taylor-type expansion in terms of the corresponding Extended Tchebycheff systems were found by Karlin and Ziegler. The question of necessary conditions, however, was left open. In this paper we solve this question by finding necessary and sufficient conditions for the validity of the expansion. The structure of the cone of generalized absolutely monotone functions and its extreme rays are also discussed.

Original languageEnglish
Pages (from-to)137-146
Number of pages10
JournalIsrael Journal of Mathematics
Issue number2
StatePublished - Jun 1969


Dive into the research topics of 'On generalized absolutely monotone functions'. Together they form a unique fingerprint.

Cite this