A Hardy-type inequality for fuzzy integrals

作者：Roman Flores H^*; Flores Franulic A; Chalco Cano Y

来源：Applied Mathematics and Computation, 2008, 204(1): 178-183.

DOI：10.1016/j.amc.2008.06.027

• fuzzy measure
• Sugeno integral
• Hardy's inequality

In this paper, we prove a Hardy-type inequality for fuzzy integrals. More precisely, we show that
(f(0)(1)f(p)(x)dx)(1/p+1) >= f(0)(1) (F/x)(p) dx,
where p >= 1, f : [0, 1] -> [0; infinity) is an integrable function and F(x) = f(0)(x)f(t)dt. An analogous inequality is also obtained on the interval [0; infinity).

• 出版日期2008-10-1