Study on Some Integral Inequalities for Pseudo-Integrals

Abstract

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