Some new Fejér type inequalities for (h, g; α - m)-convex functions
The study of (h,g;α−m)\left(h,g;\hspace{1.42271pt}\alpha -m)-convex functions extends the classical concept of convexity to more generalized forms, which provide flexible tools for analysis. The aim of this article is to yield the generalization of the Fejér type inequalities for various classes of...
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-08-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2025-0184 |
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| author | Farid Ghulam Kovač Sanja Pečarić Josip Penava Mihaela Ribičić |
| author_facet | Farid Ghulam Kovač Sanja Pečarić Josip Penava Mihaela Ribičić |
| author_sort | Farid Ghulam |
| collection | DOAJ |
| description | The study of (h,g;α−m)\left(h,g;\hspace{1.42271pt}\alpha -m)-convex functions extends the classical concept of convexity to more generalized forms, which provide flexible tools for analysis. The aim of this article is to yield the generalization of the Fejér type inequalities for various classes of convex functions, such as (h,g;α−m)\left(h,g;\hspace{1.42271pt}\alpha -m)-convex and (h,g;m)\left(h,g;\hspace{1.42271pt}m)-convex functions. |
| format | Article |
| id | doaj-art-ea6e7a10f9dc4aae880b18b926aa5ed0 |
| institution | Kabale University |
| issn | 2391-5455 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj-art-ea6e7a10f9dc4aae880b18b926aa5ed02025-08-20T03:41:22ZengDe GruyterOpen Mathematics2391-54552025-08-0123141743010.1515/math-2025-0184Some new Fejér type inequalities for (h, g; α - m)-convex functionsFarid Ghulam0Kovač Sanja1Pečarić Josip2Penava Mihaela Ribičić3Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, PakistanFaculty of Geotechnical Engineering, University of Zagreb, Hallerova aleja 7, 42 000 Varaždin, CroatiaDepartment of Mathematical, Physical and Chemical Sciences, Croatian Academy of Sciences and Arts, Zagreb, CroatiaSchool of Applied Mathematics and Informatics, Josip Juraj Strossmayer University of Osijek, Trg Ljudevita Gaja 6, 31000 Osijek, CroatiaThe study of (h,g;α−m)\left(h,g;\hspace{1.42271pt}\alpha -m)-convex functions extends the classical concept of convexity to more generalized forms, which provide flexible tools for analysis. The aim of this article is to yield the generalization of the Fejér type inequalities for various classes of convex functions, such as (h,g;α−m)\left(h,g;\hspace{1.42271pt}\alpha -m)-convex and (h,g;m)\left(h,g;\hspace{1.42271pt}m)-convex functions.https://doi.org/10.1515/math-2025-0184fejér inequalityconvex function(h, g; α-m)-convex function26d1026d1526d2026d99 |
| spellingShingle | Farid Ghulam Kovač Sanja Pečarić Josip Penava Mihaela Ribičić Some new Fejér type inequalities for (h, g; α - m)-convex functions Open Mathematics fejér inequality convex function (h, g; α-m)-convex function 26d10 26d15 26d20 26d99 |
| title | Some new Fejér type inequalities for (h, g; α - m)-convex functions |
| title_full | Some new Fejér type inequalities for (h, g; α - m)-convex functions |
| title_fullStr | Some new Fejér type inequalities for (h, g; α - m)-convex functions |
| title_full_unstemmed | Some new Fejér type inequalities for (h, g; α - m)-convex functions |
| title_short | Some new Fejér type inequalities for (h, g; α - m)-convex functions |
| title_sort | some new fejer type inequalities for h g α m convex functions |
| topic | fejér inequality convex function (h, g; α-m)-convex function 26d10 26d15 26d20 26d99 |
| url | https://doi.org/10.1515/math-2025-0184 |
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