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Inequalities for Integral Norms of Polynomials via Multipliers

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Progress in Approximation Theory and Applicable Complex Analysis

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 117))

Abstract

We consider a wide range of polynomial inequalities for norms defined by the contour or the area integrals over the unit disk. Special attention is devoted to the inequalities obtained by using the Schur-Szegő composition.

Dedicated to the memory of Professor Q.I. Rahman

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Acknowledgements

The research was partially supported by the National Security Agency (grant H98230-15-1-0229).

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Authors and Affiliations

  1. Department of Mathematics, Oklahoma State University, Stillwater, OK, 74078-1058, USA

    Igor E. Pritsker

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  1. Igor E. Pritsker
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Correspondence to Igor E. Pritsker .

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Editors and Affiliations

  1. Department of Mathematics and Statistics, Auburn University, Auburn, Alabama, USA

    Narendra Kumar Govil

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

    Ram Mohapatra

  3. Department of Mathematics, Tuskegee University, Tuskegee, Alabama, USA

    Mohammed A. Qazi

  4. Department of Mathematics, University of Erlangen-Nuremberg, Erlangen, Germany

    Gerhard Schmeisser

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Pritsker, I.E. (2017). Inequalities for Integral Norms of Polynomials via Multipliers. In: Govil, N., Mohapatra, R., Qazi, M., Schmeisser, G. (eds) Progress in Approximation Theory and Applicable Complex Analysis. Springer Optimization and Its Applications, vol 117. Springer, Cham. https://doi.org/10.1007/978-3-319-49242-1_5

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