%0 Journal Article %T Bessel and Gr¨¹ss Type Inequalities in Inner Product Modules over Banach -Algebras %A Ghazanfari AG %A Dragomir SS %J Journal of Inequalities and Applications %D 2011 %I Springer %X We give an analogue of the Bessel inequality and we state a simple formulation of the Gr¨¹ss type inequality in inner product -modules, which is a refinement of it. We obtain some further generalization of the Gr¨¹ss type inequalities in inner product modules over proper -algebras and unital Banach -algebras for -seminorms and positive linear functionals. %U http://www.journalofinequalitiesandapplications.com/content/2011/562923