Generalization of the Jensen inequality for pseudo-integral
Generalizations of the Jensen integral inequality for the pseudo-integral are proven. 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,?) ( [ a , b ] , max , ? ) , where the pseudo-multiplication ? is generated.
jensens inequality pseudo-integral semiring pseudo-multiplication pseudo-addition