학술저널
ON A GENERALIZED UPPER BOUND FOR THE EXPONENTIAL FUNCTION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 22, No. 1
-
2009.037 - 10 (4 pages)
- 2
With the introduction of a new parameter n 1, Kim generalized an upper bound for the exponential function that implies the inequality between the arithmetic and geometric means. By a change of variable, this generalization is equivalent to exp n(x−1)n+x−1 n−1+xnn for real n 1 and x > 0. In this paper, we show that this inequality is true for real x > 1 − n provided that n is an even integer.
1. Introduction and statement of result
2. Proof of Theorem 1.3
References
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