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Inequalities for Real Powers of Completely Monotonic Functions

✍ Scribed by H. van Haeringen

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
203 KB
Volume
210
Category
Article
ISSN
0022-247X

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✦ Synopsis

Let L L N denote the class of functions defined by

Ε½ . Ε½ .

For N Βͺ Ο± we write f g L L. Functions in L L are called completely monotonic on Ε½ . 0, Ο± . We derive several inequalities involving completely monotonic functions. In particular, we prove that the implication

is true for 0 F N F 7, but false for N G 13.

πŸ“œ SIMILAR VOLUMES

Integral Inequalities for Monotone Funct
Integral Inequalities for Monotone Functions
✍ Josip PečariΔ‡; Ivan PeriΔ‡; Lars-Erik Persson πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 218 KB

Some integral inequalities for generalized monotone functions of one variable and an integral inequality for monotone functions of several variables are proved. Some applications are presented and discussed.

Weighted Inequalities for Monotone Funct
Weighted Inequalities for Monotone Functions
✍ Alejandro GarcΓ­a πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 495 KB

Weighted norm inequalities are investigated by giving an extension of the Riesz convexity theorem to semi-linear operators on monotone functions. Several properties of the classes B@, n) and C(p, n) introduced by NEUGEBAUER in [I31 are given. In particular, we characterize the weight pairs w, v for