Inequalities for differences of powers
✍ Scribed by Zsolt Páles
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 451 KB
- Volume
- 131
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
Divided differences are operators acting on functions of several variables. We Ž k describe this action on the basis of modified powers that is, x is replaced by Ž . Ž . Ž . i x y a xy a иии x y a . Special cases are of interest when a s q or 0 1 ny1 i a s i. ᮊ 1999 Academic Press i 1. PRELIMINARIES