T. Riedel, Maciej Sablik, "On a functional equation related to a generalization of Flett's mean value theorem", International Journal of Mathematics and Mathematical Sciences, vol. 23, Article ID 967678, 5 pages, 2000. https://doi.org/10.1155/S0161171200000508
On a functional equation related to a generalization of Flett's mean value theorem
In this paper, we characterize all the functions that attain their Flett mean value at a particular point between the endpoints of the interval under consideration. These functions turn out to be cubic polynomials and thus, we also characterize these.
Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.