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Absolutely (completely) monotonic functions and Jordan-type inequalities

โœ Scribed by Shijun Yang

Book ID
113449316
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
201 KB
Volume
25
Category
Article
ISSN
0893-9659

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๐Ÿ“œ SIMILAR VOLUMES

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

Completely Monotonic and Related Functio
Completely Monotonic and Related Functions
โœ H. van Haeringen ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 219 KB

We study completely monotonic and related functions whose first N derivatives are definite on an interval. Let L L N denote the class of functions defined by

Jordan-type inequalities for differentia
Jordan-type inequalities for differentiable functions and their applications
โœ Shanhe Wu; Lokenath Debnath ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 207 KB

In this work, we extend Jordan's inequality to obtain a new type of inequality involving functions and their higher-order derivatives. The result is then used to obtain some higher accurate inequalities of Jordan type.