On the E-Hyperstability of the Inhomogeneous σ-Jensen’s Functional Equation on Semigroups
In this paper, we study the hyperstability problem for the well-known σ-Jensen’s functional equation fxy+fxσy=2fx for all x,y∈S, where S is a semigroup and σ is an involution of S. We present sufficient conditions on E⊂ℝ+S2 so that the inhomogeneous form of σ-Jensen’s functional equation fxy+fxσy=2f...
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2023/1749302 |
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| author | M. Sirouni S. Kabbaj |
| author_facet | M. Sirouni S. Kabbaj |
| author_sort | M. Sirouni |
| collection | DOAJ |
| description | In this paper, we study the hyperstability problem for the well-known σ-Jensen’s functional equation fxy+fxσy=2fx for all x,y∈S, where S is a semigroup and σ is an involution of S. We present sufficient conditions on E⊂ℝ+S2 so that the inhomogeneous form of σ-Jensen’s functional equation fxy+fxσy=2fx+φx,y for all x,y∈S, where the inhomogeneity φ is given, can be E-hyperstable on S. |
| format | Article |
| id | doaj-art-a94dd95be87a41169aab826d0335d7d4 |
| institution | Kabale University |
| issn | 1687-0409 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a94dd95be87a41169aab826d0335d7d42025-02-03T05:52:24ZengWileyAbstract and Applied Analysis1687-04092023-01-01202310.1155/2023/1749302On the E-Hyperstability of the Inhomogeneous σ-Jensen’s Functional Equation on SemigroupsM. Sirouni0S. Kabbaj1Department of MathematicsDepartment of MathematicsIn this paper, we study the hyperstability problem for the well-known σ-Jensen’s functional equation fxy+fxσy=2fx for all x,y∈S, where S is a semigroup and σ is an involution of S. We present sufficient conditions on E⊂ℝ+S2 so that the inhomogeneous form of σ-Jensen’s functional equation fxy+fxσy=2fx+φx,y for all x,y∈S, where the inhomogeneity φ is given, can be E-hyperstable on S.http://dx.doi.org/10.1155/2023/1749302 |
| spellingShingle | M. Sirouni S. Kabbaj On the E-Hyperstability of the Inhomogeneous σ-Jensen’s Functional Equation on Semigroups Abstract and Applied Analysis |
| title | On the E-Hyperstability of the Inhomogeneous σ-Jensen’s Functional Equation on Semigroups |
| title_full | On the E-Hyperstability of the Inhomogeneous σ-Jensen’s Functional Equation on Semigroups |
| title_fullStr | On the E-Hyperstability of the Inhomogeneous σ-Jensen’s Functional Equation on Semigroups |
| title_full_unstemmed | On the E-Hyperstability of the Inhomogeneous σ-Jensen’s Functional Equation on Semigroups |
| title_short | On the E-Hyperstability of the Inhomogeneous σ-Jensen’s Functional Equation on Semigroups |
| title_sort | on the e hyperstability of the inhomogeneous σ jensen s functional equation on semigroups |
| url | http://dx.doi.org/10.1155/2023/1749302 |
| work_keys_str_mv | AT msirouni ontheehyperstabilityoftheinhomogeneoussjensensfunctionalequationonsemigroups AT skabbaj ontheehyperstabilityoftheinhomogeneoussjensensfunctionalequationonsemigroups |