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Bernstein Type Inequalities for Rational Functions with Prescribed Poles

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Recent Progress in Inequalities

Part of the book series: Mathematics and Its Applications ((MAIA,volume 430))

Abstract

The paper surveys polynomial inequalities and their generalisations to rational functions with prescribed poles. We also mention results concerning generalisations of Bernstein’s polynomial inequalities through the use of Functional Analysis. Finally, a Bernstein type inequality associated with wavelet decomposition is mentioned.

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Authors and Affiliations

  1. Department of Mathematics, Auburn University, AL, 36849, USA

    N. K. Govil

  2. Department of Mathematics, University of Central Florida, Orlando, FL, 32816, USA

    R. N. Mohapatra

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  1. N. K. Govil
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Editors and Affiliations

  1. University of Niš, Niš, Yugoslavia

    G. V. Milovanović (Faculty of Electronic Engineering) (Faculty of Electronic Engineering)

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Govil, N.K., Mohapatra, R.N. (1998). Bernstein Type Inequalities for Rational Functions with Prescribed Poles. In: Milovanović, G.V. (eds) Recent Progress in Inequalities. Mathematics and Its Applications, vol 430. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9086-0_14

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