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arXiv · 1610.08345

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

Mohammad W. Alomari
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Abstract

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

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Mohammad W. Alomari. 2016-10-24. Approximating n-th differentiable functions of two variables and mid-point formula. https://arxiv.org/abs/1610.08345

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