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Multivariate Radial Mixed Fractional Ostrowski Inequalities

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Advances on Fractional Inequalities

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Abstract

Here we give general multivariate radial mixed Caputo fractional Ostrowski inequalities. One of them is proved sharp and attained. Estimates are with respect to ‖⋅‖ p , 1 ≤ p ≤ ∞. This chapter relies on [4].

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References

  1. G. A. Anastassiou, “Ostrowski type inequalities”, Proc. AMS 123 (1995), 3775-3781.

    Article  MathSciNet  MATH  Google Scholar 

  2. G. A. Anastassiou, “Fractional Differentiation Inequalities”, Research Monograph, Springer, New York, 2009.

    Book  Google Scholar 

  3. G. A. Anastassiou, “On Right Fractional Calculus, ”Chaos, Solitons and Fractals”, 42(2009), 365-376.

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  4. G. A. Anastassiou, Multivariate radial  mixed Caputo fractional Ostrowski inequalities, submitted, 2011.

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  5. Kai Diethelm, Fractional Differential Equations, online: http://www.tubs.de/\diethelm/lehre/f-dg102/fde-skript.ps.gz.

  6. A. M. A. El-Sayed and M. Gaber, On the finite Caputo and finite Riesz derivatives, Electronic Journal of Theoretical Physics, Vol.3, No.12(2006), 81-95.

    Google Scholar 

  7. G. A. Frederico and D. F. M. Torres, Fractional Optimal Control in the sense of Caputo and the fractional Noether’s theorem, International Mathematical Forum, Vol.3, No. 10 (2008), 479-493.

    MathSciNet  MATH  Google Scholar 

  8. R. Gorenflo and F. Mainardi, Essentials of Fractional Calculus, 2000, Maphysto Center, http://www.maphysto.dk/oldpages/events/LevyCAC2000/MainardiNotes/fm2k0a.ps

  9. W. Rudin, Real and Complex Analysis, International Student edition, Mc Graw Hill, London, New York, 1970.

    Google Scholar 

  10. D. Stroock, A Concise Introduction to the Theory of Integration, Third Edition, Birkhaüser, Boston, Basel, Berlin, 1999.

    MATH  Google Scholar 

  11. A. Ostrowski, Über die Absolutabweichung einer differentiebaren Funktion von ihrem Integralmittelwert, Comment. Math. Helv. 10, (1938), 226-227.

    Google Scholar 

  12. G. Samko, A. A. Kilbas and O. I. Marichev, Fractional Integrals and Derivatives Theory and Applications (Gordon and Breach, Amsterdam, 1993) [English translation from the Russian, Integrals and Derivatives of Fractional Order and Some of Their Applications, Nauka i Technika, Minsk, 1987)].

    Google Scholar 

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Correspondence to George A. Anastassiou .

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© 2011 George A. Anastassiou

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Anastassiou, G.A. (2011). Multivariate Radial Mixed Fractional Ostrowski Inequalities. In: Advances on Fractional Inequalities. SpringerBriefs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0703-4_5

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