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The Ostrowski inequality in one dimension has been known for about seventy years. In the last two or three years an Ostrowski type inequality in two dimensions has been developed. In this paper we extend these ideas in two dimensions to obtain double integral inequalities that are based on multi-branch Peano kernels. Mathematics subject classification (2000): 26D15, 41A55.

Double integral inequalities based on multi-branch Peano kernels