M φ M ψ $M_{\varphi}M_{\psi}$ -convexity and separation theorems
Abstract A characterization of pairs of functions that can be separated by an M φ M ψ $M_{\varphi}M_{\psi}$ -convex function and related results are obtained. Also, a Hyers–Ulam stability result for M φ M ψ $M_{\varphi}M_{\psi}$ -convex functions is given.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-05-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-022-02797-x |
| _version_ | 1818206997703557120 |
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| author | Mea Bombardelli Sanja Varošanec |
| author_facet | Mea Bombardelli Sanja Varošanec |
| author_sort | Mea Bombardelli |
| collection | DOAJ |
| description | Abstract A characterization of pairs of functions that can be separated by an M φ M ψ $M_{\varphi}M_{\psi}$ -convex function and related results are obtained. Also, a Hyers–Ulam stability result for M φ M ψ $M_{\varphi}M_{\psi}$ -convex functions is given. |
| first_indexed | 2024-12-12T04:21:55Z |
| format | Article |
| id | doaj.art-f08843a3a69d440fb24264edf5a10a53 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-12T04:21:55Z |
| publishDate | 2022-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-f08843a3a69d440fb24264edf5a10a532022-12-22T00:38:18ZengSpringerOpenJournal of Inequalities and Applications1029-242X2022-05-01202211710.1186/s13660-022-02797-xM φ M ψ $M_{\varphi}M_{\psi}$ -convexity and separation theoremsMea Bombardelli0Sanja Varošanec1Department of Mathematics, Faculty of Science, University of ZagrebDepartment of Mathematics, Faculty of Science, University of ZagrebAbstract A characterization of pairs of functions that can be separated by an M φ M ψ $M_{\varphi}M_{\psi}$ -convex function and related results are obtained. Also, a Hyers–Ulam stability result for M φ M ψ $M_{\varphi}M_{\psi}$ -convex functions is given.https://doi.org/10.1186/s13660-022-02797-xM φ M ψ $M_{\varphi}M_{\psi}$ -convex functionSeparation theoremHyers–Ulam stabilityQuasi-arithmetic mean |
| spellingShingle | Mea Bombardelli Sanja Varošanec M φ M ψ $M_{\varphi}M_{\psi}$ -convexity and separation theorems Journal of Inequalities and Applications M φ M ψ $M_{\varphi}M_{\psi}$ -convex function Separation theorem Hyers–Ulam stability Quasi-arithmetic mean |
| title | M φ M ψ $M_{\varphi}M_{\psi}$ -convexity and separation theorems |
| title_full | M φ M ψ $M_{\varphi}M_{\psi}$ -convexity and separation theorems |
| title_fullStr | M φ M ψ $M_{\varphi}M_{\psi}$ -convexity and separation theorems |
| title_full_unstemmed | M φ M ψ $M_{\varphi}M_{\psi}$ -convexity and separation theorems |
| title_short | M φ M ψ $M_{\varphi}M_{\psi}$ -convexity and separation theorems |
| title_sort | m φ m ψ m varphi m psi convexity and separation theorems |
| topic | M φ M ψ $M_{\varphi}M_{\psi}$ -convex function Separation theorem Hyers–Ulam stability Quasi-arithmetic mean |
| url | https://doi.org/10.1186/s13660-022-02797-x |
| work_keys_str_mv | AT meabombardelli mphmpsmvarphimpsiconvexityandseparationtheorems AT sanjavarosanec mphmpsmvarphimpsiconvexityandseparationtheorems |