On interpolation of completely monotonic sequences
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...
متن کاملA certain class of completely monotonic sequences
*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...
متن کاملMonotonic Cubic Spline Interpolation
This paper describes the use of cubic splines for interpolating monotonic data sets. Interpolating cubic splines are popular for fitting data because they use low-order polynomials and have C2 continuity, a property that permits them to satisfy a desirable smoothness constraint. Unfortunately, that same constraint often violates another desirable property: monotonicity. The goal of this work is...
متن کاملSome completely monotonic functions of positive order
We completely determine the set of (α, β) ∈ R2 for which the function e −e ex−1 is convex on (0,∞) and use this result to give some special classes of completely monotonic functions of positive order related to gamma and psi functions.
متن کاملA class of logarithmically completely monotonic functions
The main object of this work is to give some conditions for a class of functions to be logarithmically completely monotonic. Our result is shown to be an extension of a result which was proven in the recent literature on this subject. c © 2008 Elsevier Ltd. All rights reserved.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 1983
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-42-1-345-347