Log-concavity and strong \(q\)-log-convexity for some generalized triangular arrays

In this paper, we provide criteria for the log-concavity of rows and the strong \(q\)-log-convexity of the generating functions of rows in more generalized triangles. Additionally, we prove that the bi\(^s\)nomial transformation not only preserves the strong \(q\)-log-convexity property but also preserves the strong \(q\)-log-concavity property.