On Bergh′s Inequality for Quasi-Monotone Functions
✍ Scribed by J.E. Pecaric; L.E. Persson
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 222 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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 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
Let L L N denote the class of functions defined by ## Ž . Ž . For N ª ϱ we write f g L L. Functions in L L are called completely monotonic on Ž . 0, ϱ . We derive several inequalities involving completely monotonic functions. In particular, we prove that the implication is true for 0 F N F 7, bu