New integral inequalities for s-preinvex functions

In this note, we give some estimate of the generalized quadrature formula of Gauss-Jacobi\underset{a}{\overset{a+\eta \left( b,a\right) }{\int }}\left( x-a\right)^{p}\left( a+\eta \left( b,a\right) -x\right) ^{q}f\left( x\right) dxin the cases where f and \left| f\right| ^{\lambda } for \lambda >۱, are s-preinvex functions in the second sense.

Keywords:

Integral inequality , s-preinvex function , H {o}lder inequality , power mean inequality