Study on Some Integral Inequalities for Pseudo-Integrals

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