Vornicu-Schur Inequality
The Vornicu-Schur' refers to a generalized version of Schur's Inequality.
Theorem
In 2007, Romanian mathematician Valentin Vornicu showed that a generalized form of Schur's inequality exists:
Consider , where
, and either
or
. Let
, and let
be either convex or monotonic. Then,
The standard form of Schur's is the case of this inequality where ,
,
,
, and
.
External Links
- A full statement, as well as some applications can be found in this article.
References
- Vornicu, Valentin; Olimpiada de Matematica... de la provocare la experienta; GIL Publishing House; Zalau, Romania.</ref>