| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 841452 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 8 Pages |
Abstract
The classical Liapunov inequality shows an interesting upper bound for the Lebesgue integral of the product of two functions. This paper proposes a Liapunov type inequality for Sugeno integrals. That is, we show that Hs,t,r((S)∫01f(x)sdμ)r−t≤((S)∫01f(x)tdμ)r−s((S)∫01f(x)rdμ)s−t holds for some constant Hs,t,rHs,t,r where 0
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Dug Hun Hong,