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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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In this paper, the Schur convexity is generalized to Schur f-convexity, which contains the Schur geometrical convexity, harmonic convexity and so on. When f : R+ → R is defined as f(x) = (xm −1)/m if m 6≠0 and f(x) = ln x if m = 0, the necessary and sufficient conditions for f-convexity (is called Schur m-power convexity) of Gini means are given, which generalize and unify certain known results.
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참고문헌 (30)
참고문헌 신청
[학술지(정기간행물)]
A. Forcina / 1982 / Homogeneity indices and Schur-convex functions / Statistica 42 (4) : 529 ~ 542
A. W. Marshall / 1979 / Inequalities: Theory of Majorization and Its Applications / Academic Press
C. Gini / 1938 / Diuna formula comprensiva delle media / Metron 13 : 3 ~ 22
C. P. Niculescu / 2000 / Convexity according to the geometric mean / Math. Inequal. Appl 3 (2) : 155 ~ 167
A. Forcina / 1982 / Homogeneity indices and Schur-convex functions / Statistica 42 (4) : 529 ~ 542
A. W. Marshall / 1979 / Inequalities: Theory of Majorization and Its Applications / Academic Press
C. Gini / 1938 / Diuna formula comprensiva delle media / Metron 13 : 3 ~ 22
C. P. Niculescu / 2000 / Convexity according to the geometric mean / Math. Inequal. Appl 3 (2) : 155 ~ 167
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