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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

INEQUALITIES VIA POWER SERIES AND CAUCHY-SCHWARZ INEQUALITY

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, University of Suwon)
Jeong, Moon-Ja. (2012). INEQUALITIES VIA POWER SERIES AND CAUCHY-SCHWARZ INEQUALITY. 한국수학교육학회지시리즈B:순수및응용수학, 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

참고문헌

1.

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

2.

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

3.

Introduction to Inequalities. e-book in PDF.

4.

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

5.

Real & Complex Analysis.

6.

Complex variables.

7.

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

8.

(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.

한국수학교육학회지시리즈B:순수및응용수학

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