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Multidimensional Ostrowski Type Inequalities for Banach Space Valued Functions

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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 are dealing with smooth functions from a real box to a Banach space. For these we establish vector multivariate sharp Ostrowski type inequalities to all possible directions.

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References

  1. G.A. Anastassiou, Multivariate Ostrowski type inequalities. Acta Math. Hung. 76(4), 267–278 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  2. G.A. Anastassiou, Quantitative Approximations (Chapman & Hall/CRC, Boca Raton, 2001)

    MATH  Google Scholar 

  3. G.A. Anastassiou, Multivariate montgomery identities and Ostrowski inequalities. Numer. Funct. Anal. Opt. 23(3–4), 247–263 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  4. G.A. Anastassiou, Multidimensional Ostrowski inequalities, revisited. Acta Math. Hung. 97(4), 339–353 (2002)

    Article  MathSciNet  Google Scholar 

  5. G.A. Anastassiou, Multivariate fink type identity and multivariate Ostrowski, comparison of means and Grüss type inequalities. Math. Comput. Modell. 46, 351–374 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  6. G.A. Anastassiou, Probabilistic Inequalities (World Scientific, Singapore, 2010)

    MATH  Google Scholar 

  7. G.A. Anastassiou, Advanced Inequalities (World Scientific, Singapore, 2011)

    MATH  Google Scholar 

  8. G.A. Anastassiou, Ostrowski and Landau inequalities for Banach space valued functions. Math. Comput. Modell. 55, 312–329 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  9. G.A. Anastassiou, Multidimensional Ostrowski inequalities for Banach space valued functions. J. Nonlinear Evol. Eqn. Appl. 2, 23-56 (2011)

    Google Scholar 

  10. B. Driver, Analysis Tools with Applications (Springer, New York, 2003)

    Google Scholar 

  11. G. Ladas, V. Laksmikantham, Differential Equations in Abstract Spaces (Academic Press, New York, 1972)

    Google Scholar 

  12. A. Ostrowski, Über die Absolutabweichung einer differentiebaren Funktion von ihrem integralmittelwert. Comment. Math. Helv. 10, 226–227 (1938)

    Article  MathSciNet  Google Scholar 

  13. L. Schwartz, Analyse Mathematique (Hermann, Paris, 1967)

    MATH  Google Scholar 

  14. G. Shilov, Elementary Functional Analysis (The MIT Press Cambridge, Massachusetts, 1974)

    Google Scholar 

  15. E.T. Whittaker, G.N. Watson, A Course in Modern Analysis (University Press, Cambridge, 1927)

    Google Scholar 

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Correspondence to George A. Anastassiou .

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Anastassiou, G.A. (2016). Multidimensional Ostrowski Type Inequalities for Banach Space Valued Functions. In: Intelligent Comparisons: Analytic Inequalities. Studies in Computational Intelligence, vol 609. Springer, Cham. https://doi.org/10.1007/978-3-319-21121-3_17

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  • DOI: https://doi.org/10.1007/978-3-319-21121-3_17

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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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