A generalized mixed type of quartic, cubic, quadratic and additive functional equation
We determine the general solution of the functional equation f(x+ky)+f(x−ky) = g(x+y)+g(x−y)+ +h(x)+h˜(y) for fixed integers k with k 6= 0, ±1 without assuming any regularity condition on the unknown functions f, g, h, h˜. The method used for solving these functional equations is elementary but ex...
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| Published in: | Український математичний журнал |
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| Date: | 2011 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2011
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/166015 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A generalized mixed type of quartic, cubic, quadratic and additive functional equation / J.M. Rassias, T.Z. Xu, W.X. Xu // Український математичний журнал. — 2011. — Т. 63, № 3. — С. 399–415. — Бібліогр.: 23 назв. — англ. |