Abstract
We deal with the functional equations
where \({I \subset \mathbb{R} }\) is an arbitrary interval with positive length, \({ f, g, \varphi, \psi: I \to \mathbb{R} }\) areunknown functions. We are also looking for the conditions guaranteeing that the function h in the equation
be constant.
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Ger J.: On Sahoo–Riedel equations on a real interval. Aequ. Math. 63, 168–179 (2002)
Kuczma M.: On some functional equations with conic section as solutions. Rocz. Naukowo Dydakt. WSP Krakowie 159, 197–213 (1993)
Sahoo P.K., Riedel T.: Mean Value Theorems and Functional Equations. World Scientific, Singapore (1998)
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Dedicated to Roman, my beloved husband, on the occasion of his 70th Birthday
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Ger, J. On Sahoo–Riedel equations again. Aequat. Math. 90, 181–191 (2016). https://doi.org/10.1007/s00010-015-0366-y
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DOI: https://doi.org/10.1007/s00010-015-0366-y