Generalized Canavati Fractional Ostrowski, Opial and Grüss type inequalities for Banach algebra valued functions

George A. Anastassiou

doi:10.2478/mjpaa-2022-0010

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Generalized Canavati Fractional Ostrowski, Opial and Grüss type inequalities for Banach algebra valued functions

Moroccan Journal of Pure and Applied Analysis

Volume 8 (2022): Issue 1 (January 2022)

By: George A. Anastassiou

Open Access

|Jan 2022

Abstract

Using generalized Canavati fractional left and right vectorial Taylor formulae we establish mixed fractional Ostrowski, Opial and Grüss type inequalities involving several Banach algebra valued functions. The estimates are with respect to all norms ‖ · ‖ _p, 1 ≤ p ≤ ∞. We provide also applications.

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