Study on Some Integral Inequalities for Pseudo-Integrals

In this paper, we express and prove  Stolarsky, Feng Qi and Markov 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, \odot ), where \odot is generated.  The integral  inequalities are  appling in multivariate approximation theory and probability theory and etc.

Keywords:

Carlson-type inequality , Sugeno integral , Fuzzy measure , Comonotone functions , Fuzzy integral inequality