Multiplicative type functional equations arising from characterization problems |
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| Authors: | Károly Lajkó Fruzsina Mészáros |
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| Affiliation: | 1. Institute of Mathematics and Computer Science, College of Nyíregyháza, P. O. Box 166, 4401, Nyíregyháza, Hungary
2. Institute of Mathematics, University of Debrecen, P. O. Box 12, 4010, Debrecen, Hungary
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| Abstract: | We give the general and the so-called density function solutions of equation | lllfU(x)fV(y)=fX(frac1-y1-xy ) fY (1-xy) fracy1-xy ( (x, y) ? (0,1)2 )begin{array}{lll}f_{U}(x)f_{V}(y)=f_{X}left(frac{1-y}{1-xy} right) f_{Y} (1-xy) frac{y}{1-xy} qquad left( (x, y) in (0,1)^2 right)end{array} |
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