Title

Generalized Ostrowski, Opial and Hilbert-Pachpatte type inequalities for Banach algebra valued functions involving integer vectorial derivatives

Abstract

Using a generalized vectorial Taylor formula involving ordinary vector derivatives we establish mixed Ostrowski, Opial and Hilbert-Pachpatte type inequalities for several Banach algebra valued functions. The estimates are with respect to all norms k.kp, 1 ≥ p ≥ ∞. We finish with applications.

Publication Title

Journal of Computational Analysis and Applications

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