Multivariate fractional representation formula and Ostrowski type inequality

Authors

  • George A. Anastassiou University of Memphis, Memphis, TN 38152

DOI:

https://doi.org/10.5644/SJM.10.1.04

Keywords:

Multivariate fractional integral, representation formula, multivariate Ostrowski inequality

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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References

G. Anastassiou, M. Hooshmandasl, A. Ghasemi and F. Moftakharzadeh, Montgomery identities for fractional integrals and related fractional inequalities, J. Inequal. Pure Appl. Math., 10 (4) (2009), Article 97, 6 pages.

T. Mamatov and S. Samko, Mixed fractional integration operators in mixed weighted Hölder spaces, Fract. Calc. Appl. Anal., 13 (3) (2010), 245--259.

D. S. Mitrinovic, J. E. Pecaric and A. M. Fink, Inequalities for Functions and their Integrals and Derivatives, Kluwer Academic Publishers, Dordrecht, Netherlands, (1994).

S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley and Sons, USA, (1993).

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Published

04.06.2024

How to Cite

Anastassiou, G. A. (2024). Multivariate fractional representation formula and Ostrowski type inequality. Sarajevo Journal of Mathematics, 10(1), 27–35. https://doi.org/10.5644/SJM.10.1.04

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Articles