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A Survey on Cauchy–Bunyakovsky–Schwarz Inequality for Power Series

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Analytic Number Theory, Approximation Theory, and Special Functions

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Abstract

In this paper, we present a survey of some recent results for the celebrated Cauchy–Bunyakovsky–Schwarz inequality for functions defined by power series with nonnegative coefficients. Particular examples for fundamental functions of interest are presented. Applications for some special functions are given as well.

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Author information

Authors and Affiliations

  1. School of Engineering and Science, Victoria University, 14428, Melbourne City, MC, 8001, Australia

    Alawiah Ibrahim & Silvestru Sever Dragomir

  2. School of Computational and Applied Mathematics, University of The Witwatersrand, Private Bag 3, Johannesburg, 2050, South Africa

    Silvestru Sever Dragomir

Authors
  1. Alawiah Ibrahim
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  2. Silvestru Sever Dragomir
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Corresponding author

Correspondence to Alawiah Ibrahim .

Editor information

Editors and Affiliations

  1. Mathematical Institute, Serbian Academy of Sciences and Arts, Belgrade, Serbia

    Gradimir V. Milovanović

  2. Department of Mathematics, ETH Zürich, Zürich, Switzerland

    Michael Th. Rassias

Additional information

Dedicated to Professor Hari M. Srivastava

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Ibrahim, A., Dragomir, S.S. (2014). A Survey on Cauchy–Bunyakovsky–Schwarz Inequality for Power Series. In: Milovanović, G., Rassias, M. (eds) Analytic Number Theory, Approximation Theory, and Special Functions. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0258-3_10

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