Quantum calculus,also known as q-calculus,is a kind of calculus which has no limit.It is widely used in number theory,combinations,orthogonal polynomials,mechanics and relativity.(p,q)-calculus is an extension of q-calculus.In this article,we will continue to study(p,q)b-derivative and(p,q)b-integral,and discuss their analytic properties.Finally,as application,we obtain Hermite-Hadamard type(p,q)b-integral inequalities of convex func-tion,h-convex function and modified h-convex function.