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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

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

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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(2002). Shapiro's Cyclic Inequality for Even n. J. Inequal. & Appl., 7(3), 331-349.

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Introduction to Inequalities. e-book in PDF.

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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.

9.

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

10.

Nesbitt's inequality.

11.

Shapiro inequality.

12.

planetmath.

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

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