ON AN INEQUALITY OF BRENNER,J.L.

[摘要] Let p, q, s, and 1 be positive real numbers, and let k be a nonnegative integer with p + q less-than-or-equal-to 1, s > k + 1, and t > k + 1. We prove that if [GRAPHICS] then A(k)(P(s) t) + A(k)(q(t), s) > 1 + A(k)((p + q)m, M), where m = min(s, t) and M = max(s, t). Inequality (*) sharpens and extends a result of J. L. Brenner. (C) 1994 Academic Press, Inc.

[发布日期] 1994-05-01