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Cubo (Temuco)

versão On-line ISSN 0719-0646

Cubo vol.14 no.1 Temuco  2012 

CUBO A Mathematical Journal Vol.14, N° 01, (01-07). March 2012


Univariate right fractional Ostrowski inequalities

George A. Anastassiou

University of Memphis, Department of Mathematical Sciences, Memphis, TN 38152, U.S.A. email:


Very general univariate right Caputo fractional Ostrowski inequalities are presented. One of them is proved sharp and attained. Estimates are with respect to


Keywords and Phrases: Ostrowski inequality, right Caputo fractional derivative.

2010 AMS Mathematics Subject Classication: 26A33, 26D10, 26D15


Se presenta de manera muy general desigualdades univariadas derechas de Caputo fraccionarias de Ostrowski. Se prueba que una de ellas es aguda Las estimaciones con respecto a



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

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[6] R. Gorenflo, F. Mainardi, Essentials of Fractional Calculus, 2000, Maphysto Center, MainardiNotes/

[7] A. Ostrowski, Über die Absolutabweichung einer differentiebaren Funcktion von ihrem Integralmittelwert, Comment. Math. Helv., 10 (1938), 226-227.

[8] S.G. Samko, A.A. Kilbas, 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 Tekhnika, Minsk, 1987)].

Received: November 2010. Revised: March 2011.

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