| 关于三类泛函方程 |
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| 引用本文： | 姚云飞. 关于三类泛函方程[J]. 阜阳师范学院学报(自然科学版), 1996, 0(2): 1-5 |
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| 作者姓名： | 姚云飞 |
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| 作者单位： | 阜阳师范学院数学系 |
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| 摘 要： | 本文在赋范线性空间中考察下列几类泛函方程 f(x)g(y)=h(x+y)(Ⅰ) f(x+y)=f(x)f(y)(Ⅱ) f(x+y)=f(x)+f(y)+ag(x)g(y)(Ⅲ)的性质与解以及彼此之间的关系。
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| 关 键 词： | 泛函方程 赋范线性空间 凸泛函 共轭空间 连续泛函 |
On the three kinds of functional equation |
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| Yao Yunfei. On the three kinds of functional equation[J]. Journal of Fuyang Teachers College:Natural Science, 1996, 0(2): 1-5 |
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| Authors: | Yao Yunfei |
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| Abstract: | This paper deals with the properties. Solution and their each other reations of the following functional equation f (x)g(y)=h(x+y) (I) f (x + y) = f (x)f (y) (Ⅱ) f(x +y)=f(x) + f(y)+ag(x)g(y) (Ⅲ) of in the normed linear spaces. |
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| Keywords: | Functional equation Narmed linear space Conjugate space Convex functional Continuous functional. |
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