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math.CA2019
When Are There Continuous Choices for the Mean Value Abscissa?
David Lowry-Duda, Miles H. Wheeler
The mean value theorem of calculus states that, given a differentiable function on an interval , there exists at least one mean value abscissa such that the slope o…
math.CA2016★ 6 cited
On Functions Whose Mean Value Abscissas Are Midpoints, with Connections to Harmonic Functions
Paul Carter, David Lowry-Duda
We investigate functions with the property that for every interval, the slope at the midpoint of the interval is the same as the average slope. More generally, we find functions wh…