Geodesic
Matrix Fejér and Levin-Stečkin Inequalities
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 5, p. 807

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Fejér and Levin-Stečkin inequalities treat integrals of the product of convex functions with symmetric functions. The main goal of this article is to present possible matrix versions of these inequalities. In particular, majorization results are shown of Fejér type for both convex and log-convex functions. For the matrix Levin-Stečkin type, we present more rigorous results involving the partial Löewner ordering for Hermitian matrices. Further related results involving synchronous functions are presented, too.
Classification : 47A63, 47B15, 15A45, 47A30, 15A60
Keywords: Levin-Stečkin inequality, Fejér inequality, positive matrices. 
Mohammad Sababheh; Shiva Sheybani; Hamid Reza Moradi. Matrix Fejér and Levin-Stečkin Inequalities. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 5, p. 807 . http://geodesic.mathdoc.fr/item/KJM_2025_49_5_a11/
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     author = {Mohammad Sababheh and Shiva Sheybani and Hamid Reza Moradi},
     title = {Matrix {Fej\'er} and {Levin-Ste\v{c}kin} {Inequalities}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {807 },
     year = {2025},
     volume = {49},
     number = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2025_49_5_a11/}
}
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