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Multivariate Fractional Representation Formula and Ostrowski Inequality

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Intelligent Comparisons: Analytic Inequalities

Part of the book series: Studies in Computational Intelligence ((SCI,volume 609))

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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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References

  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)

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  2. G.A. Anastassiou, Multivariate fractional representation formula and Ostrowski type inequality. Sarajevo J. Math. 10(22), 1–9 (2014)

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

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

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  5. S. Miller, B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations (Wiley, New York, 1993)

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Correspondence to George A. Anastassiou .

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Anastassiou, G.A. (2016). Multivariate Fractional Representation Formula and Ostrowski Inequality. In: Intelligent Comparisons: Analytic Inequalities. Studies in Computational Intelligence, vol 609. Springer, Cham. https://doi.org/10.1007/978-3-319-21121-3_10

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

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-21120-6

  • Online ISBN: 978-3-319-21121-3

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