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

Alawiah Ibrahim () and Silvestru Sever Dragomir ()
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Alawiah Ibrahim: Victoria University, School of Engineering and Science
Silvestru Sever Dragomir: Victoria University, School of Engineering and Science

A chapter in Analytic Number Theory, Approximation Theory, and Special Functions, 2014, pp 247-295 from Springer

Abstract: 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.

Keywords: Power Series; Hypergeometric Function; Product Space; Schwarz Inequality; Modify Bessel Function (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0258-3_10

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DOI: 10.1007/978-1-4939-0258-3_10

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