Integral Inequalities for Monotone Functions
✍ Scribed by Josip Pečarić; Ivan Perić; Lars-Erik Persson
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 218 KB
- Volume
- 215
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
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.
📜 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 Bernstein type inequalities using the integral norm are established for rational functions. A new proof of a Bernstein type inequality of Spijker is given as an application.
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