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Alternative quadratic functional equation on 2-divisible abelian groups |
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| รหัสดีโอไอ | |
| Title | Alternative quadratic functional equation on 2-divisible abelian groups |
| Creator | Jenjira Tipyan |
| Contributor | Paisan Nakmahachalasint, Patanee Udomkavanich |
| Publisher | Chulalongkorn University |
| Publication Year | 2558 |
| Keyword | Equations, Quadratic, Abelian groups, สมการกำลังสอง, ทฤษฎีกรุป |
| Abstract | Let (G+) be a 2-divisible abelian group and let (Y+) be a real (or complex or rational) linear space. We will show that the alternative quadratic function equation ʄ(x+y) + ʄ(x-y) = 2ʄ(x)±2ʄ(y) is equivalent to the classical quadratic functional equation ʄ(x+y) + ʄ(x-y) = 2ʄ(x)+2ʄ(y) for the class of functions ʄ : G→Y |
| URL Website | cuir.car.chula.ac.th |
