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2022 | OriginalPaper | Chapter

1. Generalized Fractional Ostrowski and Grüss Inequalities with Multiple Banach Algebra Valued Functions

Author : George A. Anastassiou

Published in: Fractional Inequalities In Banach Algebras

Publisher: Springer International Publishing

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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 \(\left\| \cdot \right\| _{p}\), \(1\le p\le \infty .\) It follows [6].

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next chapter Iterated Generalized Fractional Ostrowski and Grüss Inequalities with Multiple Banach Algebra Valued Functions
Literature
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Anastassiou, G.A.: Generalized Fractional Ostrowski and Grüss type inequalities involving several Banach algebra valued functions. submitted for publication (2021)
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Čebyšev: Sur les expressions approximatives des intégrales définies par les aures prises entre les mêmes limites
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Dragomir, S.S.: Noncommutative Ostrowski type inequalities for functions in Banach algebras. RGMIA Res. Rep. Coll. 24, Art. 10, 24 pp (2021)
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Dragomir, S.S.: New Noncommuttive Grüss type inequalities for functions in Banach algebras. RGMIA Res. Rep. Coll. 24, Art. 13, 19 pp (2021)
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Ostrowski, A.: Über die Absolutabweichung einer differentiabaren Funcktion von ihrem Integralmittelwert. Comment. Math. Helv. 10, 226–227 (1938)CrossRef
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Metadata
Title
Generalized Fractional Ostrowski and Grüss Inequalities with Multiple Banach Algebra Valued Functions
Author
George A. Anastassiou
Copyright Year
2022
Book
Fractional Inequalities In Banach Algebras

Print ISBN: 978-3-031-05147-0

Electronic ISBN: 978-3-031-05148-7

Copyright Year: 2022

DOI
https://doi.org/10.1007/978-3-031-05148-7_1

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