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In this work, approximations for real two variables function $f$ which hascontinuous partial $(n-1)$-derivatives $(n \ge 1)$ and has the $n$--th partialderivative of bounded bivariation or absolutely continuous are established.Explicit bounds for this representation are given. An approximation of afunction $f$ by its mid-point formula with its error is established.

Approximating n-th differentiable functions of two variables and mid-point formula