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Ostrowski Type Inequalities for Semigroups

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 609))

Abstract

Here we present Ostrowski type inequalities on Semigroups for various norms. We apply our results to the classical diffusion equation and its solution, the Gauss-Weierstrass singular integral. It follows [3].

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References

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

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

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  3. G.A. Anastassiou, Ostrowski inequalities for semigroups. Commun. Appl. Anal. 26(4), 565–578 (2012)

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  4. P.L. Butzer, H. Berens, Semi-Groups of Operators and Approximation (Springer, New York, 1967)

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  5. P.L. Butzer, H.G. Tillmann, Approximation theorems for semi-groups of bounded linear transformations. Math. Ann. 140, 256–262 (1960)

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  6. J.A. Goldstein, Semigroups of Linear Operators and Applications (Oxford University Press, Oxford, 1985)

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  7. E. Hille, R.S. Phillips, Functional Analysis and Semigroups, revised edn., pp. XII a. 808. American Mathematical Society Colloquium Publications, vol. 31. (American Mathematical Society Providence, RI, 1957)

    Google Scholar 

  8. Y. Katznelson, An Introduction to Harmonic Analysis (Dover, New York, 1976)

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  9. A. Ostrowski, Über die Absolutabweichung einer differentiebaren Funcktion von ihrem Integralmittelwert. Comments Math. Helv. 10, 226–227 (1938)

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

    Google Scholar 

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Correspondence to George A. Anastassiou .

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Anastassiou, G.A. (2016). Ostrowski Type Inequalities for Semigroups. In: Intelligent Comparisons: Analytic Inequalities. Studies in Computational Intelligence, vol 609. Springer, Cham. https://doi.org/10.1007/978-3-319-21121-3_13

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  • DOI: https://doi.org/10.1007/978-3-319-21121-3_13

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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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