Some inequalities for power series with applications

DOI10.1080/10652469.2012.693489zbMath1277.26038OpenAlexW2014393279MaRDI QIDQ2841933

Darus, Maslina, Alawiah Ibrahim, Sever Silvestru Dragomir

Publication date: 30 July 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2012.693489

zbMATH Keywords

polylogarithmpower seriesBessel functionhypergeometricCauchy-Bunyakovsky-Schwarz inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (2)

A Survey on Cauchy–Bunyakovsky–Schwarz Inequality for Power Series ⋮ New inequalities of CBS-type for power series of complex numbers

Cites Work

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• Starlike and convexity properties for hypergeometric functions
• Power series inequalities via Buzano's result and applications
• Power series inequalities via a refinement of the Schwarz inequality
• Some inequalities for power series of selfadjoint operators in Hilbert spaces via reverses of the Schwarz inequality
• Landen inequalities for hypergeometric functions
• Some applications of de Bruijn's inequality for power series

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