International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 2, Pages 103-107
doi:10.1155/S0161171200000508
On a functional equation related to a generalization of Flett's mean value theorem
T. Riedel1
and Maciej Sablik2
1Department of Mathematics, University of Louisville, Louisville 40292, KY, USA
2Instytut Matematyki, Uniwersytet Śl\c{a}ski, Ul. Bankowa 14, Katowice Pl-40-007, Poland
Abstract
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.