<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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 ‖ · ‖ <italic><sub>p</sub></italic>, 1 ≤ <italic>p</italic> ≤ ∞. We provide also applications.</p>
</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.

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

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Using generalized Canavati fractional left and right vectorial Taylor formulae we establish mixed fractional Ostrowski, Opial and Grüss type inequalities...

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

Published Online: Jan 13, 2022

Page range: 128 - 147

Received: Oct 18, 2021

Accepted: Jan 03, 2022

DOI: https://doi.org/10.2478/mjpaa-2022-0010

Keywords
Generalized Canavati fractional derivative, Generalized Canavati fractional inequalities, Ostrowski-Opial-Grüss inequalities, Banach algebra

© 2022 George A. Anastassiou, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Jan 13, 2022

Page range: 128 - 147

Received: Oct 18, 2021

Accepted: Jan 03, 2022

DOI: https://doi.org/10.2478/mjpaa-2022-0010

KeywordsGeneralized Canavati fractional derivative, Generalized Canavati fractional inequalities, Ostrowski-Opial-Grüss inequalities, Banach algebra

© 2022 George A. Anastassiou, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Generalized Canavati fractional derivative, Generalized Canavati fractional inequalities, Ostrowski-Opial-Grüss inequalities, Banach algebra