Study on Some Integral Inequalities for Pseudo-Integrals

In this paper, we express and prove Stolars ky, Feng Qi type inequalities for twoclasses of pseudo-integrals. One of them concerning the pseudo-integrals based on afunction reduces on the g-integral where pseudo-operations are defined by a monotoneand continuous function g. The other one concerns the pseudo-integrals based on asemiring ([a, b], max,⊙), where ⊙ is generated. The integral inequalities are applingin multivariate approximation theory and probability theory and etc.

Keywords:

Feng Qi type inequality , Stolarsky type inequality , Sugeno integral , pseudo-integral , Fuzzy integral inequality