In this paper, strongly (T) -convex functions, i.e., functions f : DR satisfying the functional inequality for x,y ε D and t ε T [0,1] are investigated. Here D is a convex set in a linear space, is a nonnegative function on DD, and T R is a nonempty set. The main results provide various characterizations of strong (T) -convexity in the case when T is a subfield of R.
|Number of pages||11|
|Journal||Mathematical Inequalities and Applications|
|Publication status||Published - Apr 1 2012|
- Strong convexity
ASJC Scopus subject areas
- Applied Mathematics