Approximate tri-quadratic functional equations via Lipschitz conditions
In this paper, we consider Lipschitz conditions for tri-quadratic functional equations. We introduce a new notion similar to that of the left invariant mean and prove that a family of functions with this property can be approximated by tri-quadratic functions via a Lipschitz norm.
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| Format: | Article |
| Language: | English |
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Institute of Mathematics of the Czech Academy of Science
2017-12-01
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| Series: | Mathematica Bohemica |
| Subjects: | |
| Online Access: | http://mb.math.cas.cz/full/142/4/mb142_4_1.pdf |
| _version_ | 1819195252069629952 |
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| author | Ismail Nikoufar |
| author_facet | Ismail Nikoufar |
| author_sort | Ismail Nikoufar |
| collection | DOAJ |
| description | In this paper, we consider Lipschitz conditions for tri-quadratic functional equations. We introduce a new notion similar to that of the left invariant mean and prove that a family of functions with this property can be approximated by tri-quadratic functions via a Lipschitz norm. |
| first_indexed | 2024-12-23T02:09:48Z |
| format | Article |
| id | doaj.art-2d32854b933e4792ab69c54ae32b28f6 |
| institution | Directory Open Access Journal |
| issn | 0862-7959 2464-7136 |
| language | English |
| last_indexed | 2024-12-23T02:09:48Z |
| publishDate | 2017-12-01 |
| publisher | Institute of Mathematics of the Czech Academy of Science |
| record_format | Article |
| series | Mathematica Bohemica |
| spelling | doaj.art-2d32854b933e4792ab69c54ae32b28f62022-12-21T18:03:49ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362017-12-01142433734410.21136/MB.2017.0028-16MB.2017.0028-16Approximate tri-quadratic functional equations via Lipschitz conditionsIsmail NikoufarIn this paper, we consider Lipschitz conditions for tri-quadratic functional equations. We introduce a new notion similar to that of the left invariant mean and prove that a family of functions with this property can be approximated by tri-quadratic functions via a Lipschitz norm.http://mb.math.cas.cz/full/142/4/mb142_4_1.pdf tri-quadratic functional equation Lipschitz space stability |
| spellingShingle | Ismail Nikoufar Approximate tri-quadratic functional equations via Lipschitz conditions Mathematica Bohemica tri-quadratic functional equation Lipschitz space stability |
| title | Approximate tri-quadratic functional equations via Lipschitz conditions |
| title_full | Approximate tri-quadratic functional equations via Lipschitz conditions |
| title_fullStr | Approximate tri-quadratic functional equations via Lipschitz conditions |
| title_full_unstemmed | Approximate tri-quadratic functional equations via Lipschitz conditions |
| title_short | Approximate tri-quadratic functional equations via Lipschitz conditions |
| title_sort | approximate tri quadratic functional equations via lipschitz conditions |
| topic | tri-quadratic functional equation Lipschitz space stability |
| url | http://mb.math.cas.cz/full/142/4/mb142_4_1.pdf |
| work_keys_str_mv | AT ismailnikoufar approximatetriquadraticfunctionalequationsvialipschitzconditions |