Generalized Canavati Fractional Ostrowski, Opial and Grüss type inequalities for Banach algebra valued functions

Abstract

Abstract Using generalized Canavati fractional left and right vectorial Taylor formulae we establish mixed fractional Ostrowski, Opial and Grüss type inequalities involving several Banach algebra valued functions. The estimates are with respect to all norms ‖ · ‖ p, 1 ≤ p ≤ ∞. We provide also applications.