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Alternative jensen functional equation on groups |
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| รหัสดีโอไอ | |
| Title | Alternative jensen functional equation on groups |
| Creator | Choodech Srisawat |
| Contributor | Paisan Nakmahachalasint, Nataphan Kitisin |
| Publisher | Chulalongkorn University |
| Publication Year | 2558 |
| Keyword | Functional equations, Group theory, สมการเชิงฟังก์ชัน, ทฤษฎีกรุป |
| Abstract | Given integers α, β, γ such that (α, β, γ) ̸= k(1,−2, 1) for all k ∈ Z, we will establish a criterion for the existence of the general solution of the alternative Jensen functional equation of the form f(xy^{−1}) − 2f(x) + f(xy) = 0 or αf(xy^{−1}) + βf(x) + γf(xy) = 0, where f is a mapping from a group (G, ·) to a uniquely divisible abelian group (H, +). |
| URL Website | cuir.car.chula.ac.th |
