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On an Inequality of S. Bernstein and the Gauss-Lucas Theorem

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Book cover Analytic and Geometric Inequalities and Applications

Part of the book series: Mathematics and Its Applications ((MAIA,volume 478))

Abstract

In this paper we first present an interesting generalization of the Gauss-Lucas Theorem. Next we use this result as a basic tool to prove certain compact generalizations of the well-known inequalities of S. Bernstein, P. Erdös and P.D. Lax, N.C. Ankeny and T.J. Rivlin, and others.

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References

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Author information

Authors and Affiliations

  1. Post-Graduate Department of Mathematics and Statistics, University of Kashmir, Hazratbal, Srinagar, 19006, India

    A. Aziz & N. A. Rather

Authors
  1. A. Aziz
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  2. N. A. Rather
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Editor information

Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Zografou Campus, Athens, Greece

    Themistocles M. Rassias

  2. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada

    Hari M. Srivastava

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© 1999 Springer Science+Business Media Dordrecht

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Aziz, A., Rather, N.A. (1999). On an Inequality of S. Bernstein and the Gauss-Lucas Theorem. In: Rassias, T.M., Srivastava, H.M. (eds) Analytic and Geometric Inequalities and Applications. Mathematics and Its Applications, vol 478. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4577-0_3

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  • DOI: https://doi.org/10.1007/978-94-011-4577-0_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5938-1

  • Online ISBN: 978-94-011-4577-0

  • eBook Packages: Springer Book Archive

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