TY - JOUR
T1 - A Hardy-type inequality for fuzzy integrals
AU - Román-Flores, H.
AU - Flores-Franulič, A.
AU - Chalco-Cano, Y.
PY - 2008/10/1
Y1 - 2008/10/1
N2 - In this paper, we prove a Hardy-type inequality for fuzzy integrals. More precisely, we show thatfenced({cauchy integral}01 fp (x) d x)frac(1, p + 1) ≥ {cauchy integral}01 fenced(frac(F, x))p d x,where p ≥ 1, f : [0, 1] → [0, ∞) is an integrable function and F (x) = {cauchy integral}0x f (t) d t. An analogous inequality is also obtained on the interval [0, ∞).
AB - In this paper, we prove a Hardy-type inequality for fuzzy integrals. More precisely, we show thatfenced({cauchy integral}01 fp (x) d x)frac(1, p + 1) ≥ {cauchy integral}01 fenced(frac(F, x))p d x,where p ≥ 1, f : [0, 1] → [0, ∞) is an integrable function and F (x) = {cauchy integral}0x f (t) d t. An analogous inequality is also obtained on the interval [0, ∞).
KW - Fuzzy measure
KW - Hardy's inequality
KW - Sugeno integral
UR - https://www.scopus.com/pages/publications/52049114422
U2 - 10.1016/j.amc.2008.06.027
DO - 10.1016/j.amc.2008.06.027
M3 - Article
AN - SCOPUS:52049114422
SN - 0096-3003
VL - 204
SP - 178
EP - 183
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 1
ER -