3 papers
math.GM2014
Method of Separating Tangents
Adilsultan Lepes
The well known Jensen inequality, holds true for every convex functions. However, we found that it is possible to apply it to some problems related to nonconvex functions for which…
math.GM2014
Alternative Proofs of Ten Inequalities
Adilsultan Lepes
This article offers different proofs of ten inequalities from those already published. So that the readers can see for themselves, the tasks specified in the condition of the sourc…
math.HO2013
Jensen-type inequality for non-convex functions
Adilsultan Lepes
In this note we prove Jensen-type inequality for certain non-convex functions. We apply our idea to prove some inequalities which were suggested at some high-level math olympiades.