Abstract
The general solutions of the functional equations
and
with \(g(1)=0\) and c, a given nonzero real constant, are obtained. Here F, G, H, K, L, f and g are real-valued functions each with domain I, the unit closed interval and \(1\ne \alpha >0\), \(\alpha \in {\mathbb {R}}\); \(1\ne \beta >0\), \(\beta \in {\mathbb {R}}\).
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Nath, P., Singh, D.K. On the general solutions of three functional equations. Aequat. Math. 96, 325–338 (2022). https://doi.org/10.1007/s00010-021-00801-1
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DOI: https://doi.org/10.1007/s00010-021-00801-1