Trace inequalities for completely monotone functions and Bernstein functions
β Scribed by Koenraad M.R. Audenaert
- Book ID
- 113772316
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 267 KB
- Volume
- 437
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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.
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, bu