Second order differentiability of the intermediate-point function in Cauchy's mean-value theorem
If the functions \(f,g:I\rightarrow \mathbb{R}\) are differentiable on the interval \(I\subseteq \mathbb{R}\), \(a\in I,\) then there exists a function \(\bar{c}:I\rightarrow I\) such that $$ \left[ f\left( x\right) -f\left( a\right) \right] g^{\left( 1\right) }\left( \bar{c}\left( x\right...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Publishing House of the Romanian Academy
2015-12-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/1056 |