On Solutions of A Generalized Quadratic Functional Equation of Pexider Type
Year
: 2012
Abstract: In this paper we study general solutions of the following Pexider functional equation
\\\\\\\\begin{eqnarray}
(4-k)f_{1}(\\\\\\\\sum_{i=1}^{k}x_{i})+
\\\\\\\\sum_{j=2}^{k}f_{j}((\\\\\\\\sum_{i=1,i\\\\\\\\not=j}^{k}x_{i})-x_{j}))+f_{k+1}(-x_{1}+\\\\\\\\sum_{i=2}^k x_{i})=4\\\\\\\\sum_{j=1}^k f_{k+j+1}(x_{j}),
\\\\\\\\begin{eqnarray}
(4-k)f_{1}(\\\\\\\\sum_{i=1}^{k}x_{i})+
\\\\\\\\sum_{j=2}^{k}f_{j}((\\\\\\\\sum_{i=1,i\\\\\\\\not=j}^{k}x_{i})-x_{j}))+f_{k+1}(-x_{1}+\\\\\\\\sum_{i=2}^k x_{i})=4\\\\\\\\sum_{j=1}^k f_{k+j+1}(x_{j}),
Keyword(s): uadratic functional equation,Pexiderized quadratic functional equation
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On Solutions of A Generalized Quadratic Functional Equation of Pexider Type
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| contributor author | محمد جانفدا | en |
| contributor author | Rahele Shourvazi | en |
| contributor author | Mohammad Janfada | fa |
| date accessioned | 2020-06-06T13:12:14Z | |
| date available | 2020-06-06T13:12:14Z | |
| date issued | 2012 | |
| identifier uri | https://libsearch.um.ac.ir:443/fum/handle/fum/3345730?locale-attribute=en | |
| description abstract | In this paper we study general solutions of the following Pexider functional equation \\\\\\\\begin{eqnarray} (4-k)f_{1}(\\\\\\\\sum_{i=1}^{k}x_{i})+ \\\\\\\\sum_{j=2}^{k}f_{j}((\\\\\\\\sum_{i=1,i\\\\\\\\not=j}^{k}x_{i})-x_{j}))+f_{k+1}(-x_{1}+\\\\\\\\sum_{i=2}^k x_{i})=4\\\\\\\\sum_{j=1}^k f_{k+j+1}(x_{j}), | en |
| language | English | |
| title | On Solutions of A Generalized Quadratic Functional Equation of Pexider Type | en |
| type | Journal Paper | |
| contenttype | External Fulltext | |
| subject keywords | uadratic functional equation | en |
| subject keywords | Pexiderized quadratic functional equation | en |
| journal title | Hacettepe Journal of Mathematics and Statistics | fa |
| pages | 265-270 | |
| journal volume | 41 | |
| journal issue | 2 | |
| identifier link | https://profdoc.um.ac.ir/paper-abstract-1033754.html | |
| identifier articleid | 1033754 |