Convexity and Arcwise Connectedness Approach to Inequalities with (0,r) Invexity

The purpose of this paper is to establish extensions of the arithmetic–geometric inequality with the help of (0,r) invexity .Also some form of Holder inequalities well as Minkowsky inequality (in particular the Cauchy- Schwarz inequality) are derived. This is done with the help of (0,r) invexity type inequality for convex (concave ) functions in the setting of arcwise connected functions.