On the Composition of Completely Monotonic Functions and Completely Monotonic Sequences and Related Questions
نویسندگان
چکیده
منابع مشابه
On the Composition of Completely Monotonic Functions and Completely Monotonic Sequences and Related Questions
If, in addition, f(x) is continuous at x = a, then it is called completely monotonic over [a, b), with similar definitions for (a, b] and [a, b]. A function is absolutely monotonic if all its derivatives are non-negative. A detailed study of these concepts can be found, for example, in [11, Chapter IV]. Our chief concern here is for the standard case in which a = 0, b = + 00. For this, S. N. Be...
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*Correspondence: [email protected] 1Department of Mathematics, Zhongyuan University of Technology, Zhengzhou, Henan 450007, People’s Republic of China Full list of author information is available at the end of the article Abstract In this article, we present some necessary conditions, a sufficient condition and a necessary and sufficient condition for sequences to be completely monotonic. One co...
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converges for x ∈ [0,∞). This tells us that f ∈ C[[0,∞)] if and only if it is a Laplace transform of the measure α. There have been a lot of literature about the completely monotonic functions, for examples, [3, 4, 5, 22, 25, 32, 34, 35, 39, 40, 42, 58, 60, 61, 62, 63, 66] and references therein. Recall also [6, 43, 47] that a positive function f is said to be logarithmically completely monoton...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 1983
ISSN: 0024-6107
DOI: 10.1112/jlms/s2-28.1.31