Diamond-Alpha Pachpatte Type Dynamic Inequalities Via Convexity

Abstract

Diamond-alpha Pachpatte type dynamic inequalities, which are convex generalizations of diamond-alpha Hardy-Copson type inequalities, are established to harmonize and bind foregoing related results in the delta and nabla calculi. A noteworthy contribution of the paper is that new diamond-alpha dynamic inequalities as well as their delta and nabla versions are derived by making use of convexity.