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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제35권 제1호
- 발행연도
- 2017.1
- 수록면
- 33 - 44 (12page)
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We review weighted power means of positive real numbers and see their properties including the convexity and concavity for weights. We study the mixed power means of positive real numbers related to majorization of weights, which gives us an extension of Muirhead's inequality. Furthermore, we generalize Holland's conjecture to the power means.
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참고문헌 (10)
참고문헌 신청
G.H. Hardy / 1934 / Inequalities / Cambridge University Press
F. Holland / 1992 / On a mixed arithmetic-mean, geometric-mean inequality / Mathematics Com-petitions 5:60~64
R. Horn / 1985 / Matrix Analysis / Cambridge University Press
H. Karcher / 1977 / Riemannian center of mass and mollifier smoothing / Comm. Pure Appl. Math 30:509~541
K. Kedlaya / 1994 / Proof of a mixed arithmetic-mean, geometric mean inequality / Amer. Math. Monthly 101:355~357
F. Holland / 1992 / On a mixed arithmetic-mean, geometric-mean inequality / Mathematics Com-petitions 5:60~64
R. Horn / 1985 / Matrix Analysis / Cambridge University Press
H. Karcher / 1977 / Riemannian center of mass and mollifier smoothing / Comm. Pure Appl. Math 30:509~541
K. Kedlaya / 1994 / Proof of a mixed arithmetic-mean, geometric mean inequality / Amer. Math. Monthly 101:355~357
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