Open AccessArticle

Sequential Generalized Fractional Ostrowski and Grüss type inequalities for several Banach algebra valued functions

Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.

Annals of Communications in Mathematics 2021, 4 (3), 207-225. https://doi.org/10.62072/acm.2021.040301

Received: 13 October 2021 |

Accepted: 20 December 2021 |

Published: 31 December 2021

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Abstract

Employing sequential generalized Caputo fractional left and right vectorial Taylor formulae we establish mixed sequential generalized fractional Ostrowski and Gruss ¨ type inequalities for several Banach algebra valued functions. The estimates are with respect to all norms k·kp , 1 ≤ p ≤ ∞. We finish with applications.

Keywords

Banach algebra; Gruss inequality; Ostrowski inequalit; sequential generalized fractional derivativ; sequential generalized fractional inequalitie

Cite This Article

George A. Anastassiou.

Sequential Generalized Fractional Ostrowski and Grüss type inequalities for several Banach algebra valued functions.

Annals of Communications in Mathematics

2021,

4 (3):

207-225.

https://doi.org/10.62072/acm.2021.040301

Copyright © 2021 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).