p-Schatten norm generalized Canavati fractional Ostrowski, Opial and Gruss type inequalities involving several functions

Abstract

Using generalized Canavati fractional left and right vectorial Taylor formulae we establish generalized fractional Ostrowski, Opial and Gr¸ss type inequalities for several functions that take values in the von NeumannSchatten class Bp (H), 1 p < 1. The estimates are with respect to all p-Schatten norms, 1 p < 1. We Önish with applications.