A note on the pseudo Stolarsky type inequality for the g¯-integral

摘要

Daraby (2012) proved the pseudo Stolarsky type inequality for pseudo-integrals and Mesiar and Pap (1999) defined the pseudo-integrals with respect to a sup-or int- decomposable measure. In this paper, we defined the interval-valued pseudo-integral(for short, g¯-integral) in the case of a generated semiring with an interval-valued generator g¯ by using interval-representable pseudo-operations and prove the pseudo Stolarsky type inequality for the g¯-integrals.