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ISSN : 1226-0657

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Vol.19 No.3
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INEQUALITIES VIA POWER SERIES AND CAUCHY-SCHWARZ INEQUALITY

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2012, v.19 no.3, pp.305-313
https://doi.org/10.7468/jksmeb.2012.19.3.305
Jeong, Moon-Ja
Jeong,, M. (2012). INEQUALITIES VIA POWER SERIES AND CAUCHY-SCHWARZ INEQUALITY. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 19(3), 305-313, https://doi.org/10.7468/jksmeb.2012.19.3.305
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Abstract

In this note we study Nesbitt's Inequality and modify it to make several inequalities. We prove some inequalities by using power series and Cauchy-Schwarz Inequality.

keywords
Power series, Nesbitt's Inequality, Jensen's Inequality, Cauchy-Schwarz Inequality, arithmetic mean, geometric mean

Reference

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(2005). Solution 2994. Crux Mathematicorum with Mathematical Mayhem, 31(8), 560-561.

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(2012). A Power Series Approach to Some Inequalities. Amer. Math. Monthly, 119(2), 147-151. 10.4169/amer.math.monthly.119.02.147.

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Real & Complex Analysis.

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Complex variables.

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(2004). Problem 2993. Crux Mathematicorum with Mathematical Mayhem, 30(8), 503.

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(2004). Problem 2994. Crux Mathematicorum with Mathematical Mayhem, 30(8), 503.

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(2005). Solution 2993. Crux Mathematicorum with Mathematical Mayhem, 31(8), 559.

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Nesbitt's inequality.

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Shapiro inequality.

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planetmath.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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