Nearly General Septic Functional Equation
If a mapping can be expressed by sum of a septic mapping, a sextic mapping, a quintic mapping, a quartic mapping, a cubic mapping, a quadratic mapping, an additive mapping, and a constant mapping, we say that it is a general septic mapping. A functional equation is said to be a general septic functi...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5643145 |
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| author | Ick-Soon Chang Yang-Hi Lee Jaiok Roh |
| author_facet | Ick-Soon Chang Yang-Hi Lee Jaiok Roh |
| author_sort | Ick-Soon Chang |
| collection | DOAJ |
| description | If a mapping can be expressed by sum of a septic mapping, a sextic mapping, a quintic mapping, a quartic mapping, a cubic mapping, a quadratic mapping, an additive mapping, and a constant mapping, we say that it is a general septic mapping. A functional equation is said to be a general septic functional equation provided that each solution of that equation is a general septic mapping. In fact, there are a lot of ways to show the stability of functional equations, but by using the method of Ga˘vruta, we examine the stability of general septic functional equation ∑i=08C8i−18−ifx+i−4y=0 which considered. The method of Ga˘vruta as just mentioned was given in the reference Gavruta (1994). |
| format | Article |
| id | doaj-art-417e7e500a024ee0add6caf3394fe1bb |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-417e7e500a024ee0add6caf3394fe1bb2025-02-03T01:30:33ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/5643145Nearly General Septic Functional EquationIck-Soon Chang0Yang-Hi Lee1Jaiok Roh2Department of MathematicsDepartment of Mathematics EducationIlsong College of Liberal ArtsIf a mapping can be expressed by sum of a septic mapping, a sextic mapping, a quintic mapping, a quartic mapping, a cubic mapping, a quadratic mapping, an additive mapping, and a constant mapping, we say that it is a general septic mapping. A functional equation is said to be a general septic functional equation provided that each solution of that equation is a general septic mapping. In fact, there are a lot of ways to show the stability of functional equations, but by using the method of Ga˘vruta, we examine the stability of general septic functional equation ∑i=08C8i−18−ifx+i−4y=0 which considered. The method of Ga˘vruta as just mentioned was given in the reference Gavruta (1994).http://dx.doi.org/10.1155/2021/5643145 |
| spellingShingle | Ick-Soon Chang Yang-Hi Lee Jaiok Roh Nearly General Septic Functional Equation Journal of Function Spaces |
| title | Nearly General Septic Functional Equation |
| title_full | Nearly General Septic Functional Equation |
| title_fullStr | Nearly General Septic Functional Equation |
| title_full_unstemmed | Nearly General Septic Functional Equation |
| title_short | Nearly General Septic Functional Equation |
| title_sort | nearly general septic functional equation |
| url | http://dx.doi.org/10.1155/2021/5643145 |
| work_keys_str_mv | AT icksoonchang nearlygeneralsepticfunctionalequation AT yanghilee nearlygeneralsepticfunctionalequation AT jaiokroh nearlygeneralsepticfunctionalequation |