|
Zero-mean functional equation on hyper-parallelepiped |
|---|---|
| รหัสดีโอไอ | |
| Title | Zero-mean functional equation on hyper-parallelepiped |
| Creator | Thanittha Kowan |
| Contributor | Paisan Nakmahachalasint, Nataphan Kitisin |
| Publisher | Chulalongkorn University |
| Publication Year | 2555 |
| Keyword | สมการเชิงฟังก์ชัน, Functional equations |
| Abstract | Let . Given a basis for over and a function , we determine the general solution of the functional equation for all and for all . Geometrically, the above equation says that the arithmetic mean of the values of taken at the vertices of any hyper-parallelepiped obtained from translations and dilations of a fixed hyper-parallelepiped, whose sides are parallel to , equals zero. So, we will call the above equation a zero-mean functional equation on hyper-parallelepiped. |
| URL Website | cuir.car.chula.ac.th |
