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Alternative Jensen type functional equation |
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| รหัสดีโอไอ | |
| Title | Alternative Jensen type functional equation |
| Creator | Arnisa Rasri |
| Contributor | Paisan Nakmahachalasint, Patanee Udomkavanich |
| Publisher | Chulalongkorn University |
| Publication Year | 2555 |
| Keyword | Functional equations, สมการเชิงฟังก์ชัน |
| Abstract | Let X and Y be linear spaces over a field F where F = Q,R or C and let f : X-> Y be arbitrary function. Given a constant p R such that p # 0,1, we prove that the alternative Jensen type functional equation pf(x)+(1-p) f (y) = -+f(px+ (1-p)y) is equivalent to the Jensen type functional equation pf(x)+(1-p) f (y) = -+f(px+ (1-p)y) Moreover, we prove that the general solution when p Q is f(x) = A(x) + c where A : X -> Y is an additive function and c Y |
| URL Website | cuir.car.chula.ac.th |
