논문KCI 등재
A visual proof : if e<A<B, then A^Be^B<B^Be^B
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In this paper, we give a visual proof of ABeB < eABB when e < A < B without word. Moreover, we obtained AB > BA when e < A < B which is the same result as Gallant’s but not different method.
Abstract
In this paper, we give a visual proof of ABeB < eABB when e < A < B without word. Moreover, we obtained AB > BA when e < A < B which is the same result as Gallant’s but not different method.
참고문헌 (6)
- C. Alsina, "Proof without words: President Garfield and the Cauchy-Schwarz inequality", Math. Mag, 88(2), pp.144~145 (2015)
- C. D. Gallant, "Proof without Words: Comparing BA and AB for A < B", Math. Mag, 64(1), pp.31~ (1991)
- E. F. Gregorio, "106.08 Proof without words: the Cauchy-Schwarz inequality using analytic geometry", Math. Gaz., 106(565), pp.132~ (2022)
- M. Levi, "A water-based proof of the Cauchy-Schwarz inequality, Amer", Math. Monthly, 127(6), pp.572~ (2020)
- D. L. Sun, "Proof without words: convex hulls and Jensen’s inequality", College Math. J., 52(4), pp.298~ (2021)
- J. M. Viloria, "Jensen’s inequality for convex functions on n-coordinates", Appl. Math. Inf. Sci, 12(5), pp.931~935 (2018)
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