# ON SIMPSON'S QUADRATURE FORMULA FOR DIFFERENTIABLE MAPPINGS WHOSE DERIVATIVES BELONG TO Lp-SPACES AND APPLICATIONS

• Published : 1998.12.31

#### Abstract

An estimation of remainder for Simpson's quadrature formula for differentiable mappings whose derivatives belong to $L_p$-spaces and applications in theory of special means (logarithmic mean, identric mean etc...) are given.