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Comparison inequalities between rational functions with prescribed poles

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

Various versions of Bernstein and Turán-type inequalities are a classical topic in analysis. Over a period, these inequalities have been generalized for different classes of functions. Here, we establish some new comparison inequalities for rational functions in the complex plane that are inspired by some classical inequalities of Bernstein and Turán type. The obtained results produce extensions of many inequalities for polynomials as special cases.

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Authors and Affiliations

  1. Serbian Academy of Sciences and Arts, Kneza Mihaila 35, 11000, Belgrade, Serbia

    Gradimir V. Milovanović

  2. Faculty of Science and Mathematics, University of Niš, P.O. Box 224, 18000, Niš, Serbia

    Gradimir V. Milovanović

  3. Department of Mathematics, University of Kashmir, Srinagar, 190006, India

    Abdullah Mir

Authors
  1. Gradimir V. Milovanović
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  2. Abdullah Mir
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Correspondence to Gradimir V. Milovanović.

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The work of G.V. Milovanović was partly supported by the Serbian Academy of Sciences and Arts (Project \(\varPhi \)-96)

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Milovanović, G.V., Mir, A. Comparison inequalities between rational functions with prescribed poles. RACSAM 115, 83 (2021). https://doi.org/10.1007/s13398-021-01023-5

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  • DOI: https://doi.org/10.1007/s13398-021-01023-5

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