Advances in Nonlinear Variational Inequalities Volume 25 (2022), Number 1, 91 - 108 γ- Schatten Norm Multivariate Ostrowski Type Inequalities for Several Neumann-Schatten Class B_γ (H) Valued Functions

摘要

Here we are dealing with several smooth functions from a compact convex set of R~k, k ≥ 2 to a Neumann-Schatten class B_γ (H), γ ≥ 1, which is a Banach algebra. For these we prove general multivariate Ostrowski type inequalities with estimates in norms ||.||_p,for all 1 ≤ p ≤ ∞. We provide also interesting applications.