SOME WEIGHTED INEQUALITIES FOR HIGHER-ORDER PARTIAL DERIVATIVES IN TWO DIMENSIONS AND ITS APPLICATIONS

Abstract

We establish some Ostrowski type inequalities involving higher-order partial derivatives for two dimensional integrals on Lebesgue spaces (L-infinity, L-p and L-1). Some applications in Numerical Analysis in connection with cubature formula are given. Finally, with the help of obtained inequality, we establish applications for the kth moment of random variables.