\(p\)-Schatten norm sequential generalized fractional Ostrowski and Grüss type inequalities for several functions (Q2144431)

In this paper the author uses the cocept of sequential generalized Caputo fractional left and right vectorial Taylor formulae to derive and prove the sequential generalized fractional Ostrowski and Grüss-type inequalities for several functions that take values in the von Neumann-Schatten class \(B_{p} (H), 1 \le p <\infty\). Furthermore, estimates are given for all \(p\)-Schatten norms, \(1 \le p < \infty\). In addition, applications of the results obtained to derive the sequential fractional Ostrowski and sequential fractional Grüss-type inequalities are given.