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Published in:
Fractional Polya Integral Inequality Read chapter Read first chapter

2016 | OriginalPaper | Chapter

10. Multivariate Fractional Representation Formula and Ostrowski Inequality

Author : George A. Anastassiou

Published in: Intelligent Comparisons: Analytic Inequalities

Publisher: Springer International Publishing

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Abstract

Here we derive a multivariate fractional representation formula involving ordinary partial derivatives of first order. Then we prove a related multivariate fractional Ostrowski type inequality with respect to uniform norm.

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previous chapter Further Interpretation of Some Fractional Ostrowski and Grüss Type Inequalities
next chapter Multivariate Weighted Fractional Representation Formulae and Ostrowski Inequalities
Literature
1.
G. Anastassiou, M. Hooshmandasl, A. Ghasemi, F. Moftakharzadeh, Montgomery identities for fractional integrals and related fractional inequalities. J. Inequalities Pure Appl. Math. 10(4), Article 97, 6 p. (2009)
2.
G.A. Anastassiou, Multivariate fractional representation formula and Ostrowski type inequality. Sarajevo J. Math. 10(22), 1–9 (2014)MathSciNet
3.
T. Mamatov, S. Samko, Mixed fractional integration operators in mixed weighted Hölder spaces. Fract. Calc. Appl. Anal. 13(3), 245–259 (2010)MathSciNet
4.
D.S. Mitrinovic, J.E. Pecaric, A.M. Fink, Inequalities for Functions and Their Integrals and Derivatives (Kluwer Academic Publishers, Dordrecht, 1994)
5.
S. Miller, B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations (Wiley, New York, 1993)MATH
Metadata
Title
Multivariate Fractional Representation Formula and Ostrowski Inequality
Author
George A. Anastassiou
Copyright Year
2016
Book
Intelligent Comparisons: Analytic Inequalities

Print ISBN: 978-3-319-21120-6

Electronic ISBN: 978-3-319-21121-3

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-21121-3_10

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