General Quadratic-Additive Type Functional Equation and Its Stability
We investigate the general functional equation of the form f(ax+by+cz)-abf(x+y)-bcf(y+z) − acf(x+z)-a((a+1)/2-b-c)f(x)-b((b+1)/2-a-c)f(y)-c((c+1)/2-a-b)f(z)-(a(a-1)/2)f(-x) − (b(b-1)/2)f(-y)-(c(c-1)/2)f(-z)=0, whose solutions are quadratic-additive mappings in connection with stability problems.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2016/1793065 |
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| _version_ | 1832560877161676800 |
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| author | Yang-Hi Lee Soon-Mo Jung |
| author_facet | Yang-Hi Lee Soon-Mo Jung |
| author_sort | Yang-Hi Lee |
| collection | DOAJ |
| description | We investigate the general functional equation of the form f(ax+by+cz)-abf(x+y)-bcf(y+z) − acf(x+z)-a((a+1)/2-b-c)f(x)-b((b+1)/2-a-c)f(y)-c((c+1)/2-a-b)f(z)-(a(a-1)/2)f(-x) − (b(b-1)/2)f(-y)-(c(c-1)/2)f(-z)=0, whose solutions are quadratic-additive mappings in connection with stability problems. |
| format | Article |
| id | doaj-art-74354cbe599d43c1b9163fe68e23a41b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-74354cbe599d43c1b9163fe68e23a41b2025-02-03T01:26:30ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252016-01-01201610.1155/2016/17930651793065General Quadratic-Additive Type Functional Equation and Its StabilityYang-Hi Lee0Soon-Mo Jung1Department of Mathematics Education, Gongju National University of Education, Gongju 32553, Republic of KoreaMathematics Section, College of Science and Technology, Hongik University, Sejong 30016, Republic of KoreaWe investigate the general functional equation of the form f(ax+by+cz)-abf(x+y)-bcf(y+z) − acf(x+z)-a((a+1)/2-b-c)f(x)-b((b+1)/2-a-c)f(y)-c((c+1)/2-a-b)f(z)-(a(a-1)/2)f(-x) − (b(b-1)/2)f(-y)-(c(c-1)/2)f(-z)=0, whose solutions are quadratic-additive mappings in connection with stability problems.http://dx.doi.org/10.1155/2016/1793065 |
| spellingShingle | Yang-Hi Lee Soon-Mo Jung General Quadratic-Additive Type Functional Equation and Its Stability International Journal of Mathematics and Mathematical Sciences |
| title | General Quadratic-Additive Type Functional Equation and Its Stability |
| title_full | General Quadratic-Additive Type Functional Equation and Its Stability |
| title_fullStr | General Quadratic-Additive Type Functional Equation and Its Stability |
| title_full_unstemmed | General Quadratic-Additive Type Functional Equation and Its Stability |
| title_short | General Quadratic-Additive Type Functional Equation and Its Stability |
| title_sort | general quadratic additive type functional equation and its stability |
| url | http://dx.doi.org/10.1155/2016/1793065 |
| work_keys_str_mv | AT yanghilee generalquadraticadditivetypefunctionalequationanditsstability AT soonmojung generalquadraticadditivetypefunctionalequationanditsstability |