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.
Inequalities for the expectation ofΔ-monotone functions
✍ Scribed by Ludger Rüschendorf
- Publisher
- Springer
- Year
- 1980
- Tongue
- English
- Weight
- 351 KB
- Volume
- 54
- Category
- Article
- ISSN
- 1432-2064
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📜 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 reversed Hiilder type inequalities yielding for monotone or quasimonotone functions of one variable have recently been obtained and applied (see e.g. [l], (21, (31, [5], [S], [12], [14], [17]). In this paper some inequalities of this type are proved for the more general case with n functions o