Abstract

ANASTASSIOU, GEORGE A.. Generalized Fractional Ostrowski and Grüss type inequalities involving several Banach algebra valued function. Integración - UIS [online]. 2022, vol.40, n.1, pp.119-136.  Epub Aug 25, 2022. ISSN 0120-419X.  https://doi.org/10.18273/revint.v40n1-2022007.

Using generalized Caputo fractional left and right vectorial Taylor formulae, we establish mixed fractional Ostrowski and Grüss type inequalities involving several Banach algebra valued functions. The estimates are with respect to all norms ∥·∥p, 1 ≤ p ≤ ∞.

Keywords : Generalized fractional derivative; generalized fractional inequalities; Ostrowski inequality; Grüss inequality; Banach algebra.

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