Fuzzy Stability of a Quadratic-Additive Functional Equation
We investigate a fuzzy version of stability for the functional equation 𝑓(𝑥+𝑦+𝑧+𝑤)+2𝑓(𝑥)+2𝑓(𝑦)+2𝑓(𝑧)+2𝑓(𝑤)−𝑓(𝑥+𝑦)−𝑓(𝑥+𝑧)−𝑓(𝑥+𝑤)−𝑓(𝑦+𝑧)−𝑓(𝑦+𝑤)−𝑓(𝑧+𝑤)=0.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/504802 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849309155741925376 |
|---|---|
| author | Sun Sook Jin Yang Hi Lee |
| author_facet | Sun Sook Jin Yang Hi Lee |
| author_sort | Sun Sook Jin |
| collection | DOAJ |
| description | We investigate a fuzzy version of stability for the functional equation 𝑓(𝑥+𝑦+𝑧+𝑤)+2𝑓(𝑥)+2𝑓(𝑦)+2𝑓(𝑧)+2𝑓(𝑤)−𝑓(𝑥+𝑦)−𝑓(𝑥+𝑧)−𝑓(𝑥+𝑤)−𝑓(𝑦+𝑧)−𝑓(𝑦+𝑤)−𝑓(𝑧+𝑤)=0. |
| format | Article |
| id | doaj-art-029ffccc3376497fb7369bc19922ff5d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-029ffccc3376497fb7369bc19922ff5d2025-08-20T03:54:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/504802504802Fuzzy Stability of a Quadratic-Additive Functional EquationSun Sook Jin0Yang Hi Lee1Department of Mathematics Education, Gongju National University of Education, Gongju 314-711, Republic of KoreaDepartment of Mathematics Education, Gongju National University of Education, Gongju 314-711, Republic of KoreaWe investigate a fuzzy version of stability for the functional equation 𝑓(𝑥+𝑦+𝑧+𝑤)+2𝑓(𝑥)+2𝑓(𝑦)+2𝑓(𝑧)+2𝑓(𝑤)−𝑓(𝑥+𝑦)−𝑓(𝑥+𝑧)−𝑓(𝑥+𝑤)−𝑓(𝑦+𝑧)−𝑓(𝑦+𝑤)−𝑓(𝑧+𝑤)=0.http://dx.doi.org/10.1155/2011/504802 |
| spellingShingle | Sun Sook Jin Yang Hi Lee Fuzzy Stability of a Quadratic-Additive Functional Equation International Journal of Mathematics and Mathematical Sciences |
| title | Fuzzy Stability of a Quadratic-Additive Functional Equation |
| title_full | Fuzzy Stability of a Quadratic-Additive Functional Equation |
| title_fullStr | Fuzzy Stability of a Quadratic-Additive Functional Equation |
| title_full_unstemmed | Fuzzy Stability of a Quadratic-Additive Functional Equation |
| title_short | Fuzzy Stability of a Quadratic-Additive Functional Equation |
| title_sort | fuzzy stability of a quadratic additive functional equation |
| url | http://dx.doi.org/10.1155/2011/504802 |
| work_keys_str_mv | AT sunsookjin fuzzystabilityofaquadraticadditivefunctionalequation AT yanghilee fuzzystabilityofaquadraticadditivefunctionalequation |