| Autor: |
Jleli Mohamed, Samet Bessem |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
Demonstratio Mathematica, Vol 57, Iss 1, Pp 669-680 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2391-4661 |
| DOI: |
10.1515/dema-2024-0055 |
| Popis: |
In this study, we introduce the notion of α\alpha -convex sequences which is a generalization of the convexity concept. For this class of sequences, we establish a discrete version of Fejér inequality without imposing any symmetry condition. In our proof, we use a new approach based on the choice of an appropriate sequence, which is the unique solution to a certain second-order difference equation. Moreover, we obtain a refinement of the standard (right) Fejér inequality for convex sequences. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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