generalizations of the Feng Qi Type Inequality for Pseudo-Integral

Abstract

In this paper, generalizations of the Feng Qi type integral inequalities for pseudo-integrals are proved. There are considered two cases of the real semiring with pseudo-operations: One, when pseudo-operations are defined by monotone and continuous function $g$ (then the pseudo-integrals reduces $g$-integral), and the second with a semiring $([a, b],\max,\odot)$, where the pseudo-multiplication $\odot$ is generated.