<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

Publié en ligne: 13 janv. 2022

Pages: 128 - 147

Reçu: 18 oct. 2021

Accepté: 03 janv. 2022

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

Mots clés
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

Publié en ligne: 13 janv. 2022

Pages: 128 - 147

Reçu: 18 oct. 2021

Accepté: 03 janv. 2022

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

Mots clésGeneralized 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.

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