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Some classes of completely monotonic functions, II

โœ Scribed by Horst Alzer; Christian Berg

Publisher
Springer US
Year
2006
Tongue
English
Weight
349 KB
Volume
11
Category
Article
ISSN
1382-4090

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๐Ÿ“œ SIMILAR VOLUMES

A class of logarithmically completely mo
A class of logarithmically completely monotonic functions
โœ Senlin Guo; H.M. Srivastava ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 223 KB

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.

Complete monotonicity of some functions
Complete monotonicity of some functions involving polygamma functions
โœ Feng Qi; Senlin Guo; Bai-Ni Guo ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 732 KB

In the present paper, we establish necessary and sufficient conditions for the functions | respectively to be monotonic and completely monotonic on (0, โˆž), where i โˆˆ N, ฮฑ > 0 and ฮฒ โ‰ฅ 0 are scalars, and ฯˆ (i) (x) are polygamma functions.

Inequalities for Real Powers of Complete
Inequalities for Real Powers of Completely Monotonic Functions
โœ H. van Haeringen ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 203 KB

Let L L N denote the class of functions defined by ## ลฝ . ลฝ . For N ยช ฯฑ we write f g L L. Functions in L L are called completely monotonic on ลฝ . 0, ฯฑ . We derive several inequalities involving completely monotonic functions. In particular, we prove that the implication is true for 0 F N F 7, bu