Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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MULTIVARIATE RIGHT FRACTIONAL OSTROWSKI INEQUALITIES

  • Received : 2010.11.20
  • Accepted : 2011.09.01
  • Published : 2012.05.30
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Abstract

Very general multivariate right Caputo fractional Ostrowski inequalities are presented. Some of them are proved to be sharp and attained. Estimates are with respect to ${\parallel}{\cdot}{\parallel}_{\infty}$.

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References

  1. G.A. Anastassiou, Ostrowski type inequalities, Proc. AMS 123 (1995), 3775-3781.
  2. G.A. Anastassiou, Fractional Differentiation Inequalities, Research Monograph, Springer, New York, 2009.
  3. G.A. Anastassiou, On Right Fractional Calculus, Chaos, Solitons and Fractals, 42 (2009), 365-376. https://doi.org/10.1016/j.chaos.2008.12.013
  4. G.A. Anastassiou, Univariate right fractional Ostrowski inequalities, submitted, 2010.
  5. W. Rudin, Real and Complex Analysis, International Student edition, Mc Graw Hill, London, New York, 1970.
  6. D. Stroock, A Concise Introduction to the Theory of Integration, Third Edition, Birkhauser, Boston, Basel, Berlin, 1999.
  7. A. Ostrowski, Uber die Absolutabweichung einer differentiebaren Funcktion von ihrem Integralmittelwert, Comment. Math. Helv., 10 (1938), 226-227.