Skip to main content

Univariate Right Caputo Fractional Ostrowski Inequalities

  • Chapter
  • First Online:

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

Abstract

Here we present general univariate right Caputo fractional Ostrowski inequalities. One of them is proved sharp and attained. Estimates are with respect to ‖⋅‖ p , 1 ≤ p ≤ ∞. This chapter is based on [4].

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   49.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  4. G.A. Anastassiou, Univariate right fractional Ostrowski inequalities, CUBO, accepted, 2011.

    Google Scholar 

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

    Google Scholar 

  6. G.S. Frederico, 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 

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

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

    Article  MathSciNet  Google Scholar 

  9. 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)].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to George A. Anastassiou .

Rights and permissions

Reprints and permissions

Copyright information

© 2011 George A. Anastassiou

About this chapter

Cite this chapter

Anastassiou, G.A. (2011). Univariate Right Caputo 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_2

Download citation

Publish with us

Policies and ethics