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On generalized absolutely monotone functions

โœ Scribed by D. Amir; Z. Ziegler


Book ID
112888967
Publisher
The Hebrew University Magnes Press
Year
1969
Tongue
English
Weight
344 KB
Volume
7
Category
Article
ISSN
0021-2172

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Generalized absolutely monotone function
โœ Samuel Karlin; Zvi Ziegler ๐Ÿ“‚ Article ๐Ÿ“… 1965 ๐Ÿ› The Hebrew University Magnes Press ๐ŸŒ English โš– 300 KB
Extensions of Bernstein's theorem on abs
โœ G.G. Bilodeau ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 233 KB

The main result is that D~[eaยฐ~f(x)] >10 for n~>0 on [a, b] implies that f is analytic on [a, b) if lira a,,/n < ~ where {a,} is a non-decreasing sequence of nonnegative numbers. The result is best possible in a well defined sense.