Generalized Fractional Ostrowski and Grüss type inequalities involving several Banach algebra valued function-Reference-Cited by-同舟云学术

Generalized Fractional Ostrowski and Grüss type inequalities involving several Banach algebra valued function

Published:2022-03-01 Issue:1 Volume:40 Page:
ISSN:0120-419X
Container-title:Revista Integración
language:
Short-container-title:Rev Integr temas mat

Author:

Anastassiou George A.^ORCID

Abstract

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 ≤∞.

Publisher

Universidad Industrial de Santander

Subject

General Medicine

Reference11 articles.

1. Aliprantis C. and Border K., Infinite Dimensional Analysis, Springer, 3rd ed., Berlin, 2006. doi: 10.1007/3-540-29587-9

2. Anastassiou G.A., Fractional Differentiation Inequalities, Springer, 1th ed., New York, 2009. doi: 10.1007/978-0-387-98128-4

3. Anastassiou G.A., Advances on Fractional Inequalities, Springer, 1th ed., New York, 2011. doi: 10.1007/978-1-4614-0703-4

4. Anastassiou G.A., Intelligent Comparisons: Analytic Inequalities, Springer, Heidelberg, 1th ed., New York, 2016. doi: 10.1007/978-3-319-21121-3

5. Anastassiou G.A., Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations, Springer, 1th ed., New York, 2018. doi: 10.1007/978-3-319-66936-6

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. p-Schatten Norm Generalized Canavati Fractional Ostrowski, Opial and Grüss Inequalities for Multiple Functions;Studies in Systems, Decision and Control;2022

2. Generalized Canavati Fractional Ostrowski, Opial and Grüss Inequalities with Multiple Banach Algebra Valued Functions;Studies in Systems, Decision and Control;2022

3. Generalized Fractional Ostrowski and Grüss Inequalities with Multiple Banach Algebra Valued Functions;Studies in Systems, Decision and Control;2022