Generalization of the Jensen’s inequality for pseudo-integral

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-integral reduces on g-integral), and the second semiring ([a, b] , max, odot) , where odot is generated. There is proven a generalization of the Jensenpsilas inequality for the pseudo-integral.