On a certain type of Pexider equations
Abstract
The present paper deals with general solutions of the following functional equations: f(xy) = f̅(x)f̅(y), f(xy) = f̅(x)+f̅(y), f(xy) = fT(x)fT(y), f(xy) = fT(x)+fT(y), where the symbols on the right-hand sides of these equations denote the conjugate of complex numbers (or quaternions) and the transpose of matrices, respectively.
References
1. M. Kuczma, An introduction to the theory of functional equations and inequalitites. Cauchy's equation and Jensen's inequality, Polish Scientific Publishers (PWN), Silesian University, Warszawa - Kraków - Katowice, 1985.
2. J. Tabor, On some generalization of the alternative functional equation, Zeszyty Nauk. Wyż. Szkoły Ped. w Rzeszowie Mat. 2 (1990), 149-162.
2. J. Tabor, On some generalization of the alternative functional equation, Zeszyty Nauk. Wyż. Szkoły Ped. w Rzeszowie Mat. 2 (1990), 149-162.
ChronowskiA. (1991). On a certain type of Pexider equations. Annales Mathematicae Silesianae, 5, 75-82. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14284
Antoni Chronowski
Instytut Matematyki, Wyższa Szkoła Pedagogiczna im. Komisji Edukacji Narodowej w Krakowie Poland
Instytut Matematyki, Wyższa Szkoła Pedagogiczna im. Komisji Edukacji Narodowej w Krakowie Poland
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