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Sequenced problems for functional equations
Published:
2006-06-01
https://doi.org/10.5485/TMCS.2006.0126
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Copyright (c) 2006 Zsolt Ádám, Károly Lajkó, Gyula Maksa and Fruzsina Mészáros
This work is licensed under a Creative Commons Attribution 4.0 International License.
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Ádám, Z., Lajkó, K., Maksa, G., & Mészáros, F. (2006). Sequenced problems for functional equations. Teaching Mathematics and Computer Science, 4(1), 179-192. https://doi.org/10.5485/TMCS.2006.0126
Abstract
There are many possible methods to solve equations of the form H(f(x + y), f(x − y), f(x), f(y), x, y) = 0 (x, y 2 R), where H is a known function and f is the unknown function to be determined. Here we will create a sequence of problems for equations of type (1) (see on the next page). These sequenced problems are appropriate for the fostering of talented students on different level of mathematical education.