<p>The main goal of this article is to present more refined bounds for log-convex functions. The significance of the obtained results lies in their potential applications, which can help derive new relationships among real numbers, functions, and other mathematical objects. In this paper, we focus on applications to functions and matrices, where we achieve significant improvements over well-known results in the existing literature.</p>

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Advanced Refinements of Matrix Mean Inequalities Via Log-Convexity

  • Mohamed Amine Ighachane,
  • El Hassan Benabdi,
  • Mohamed Akkouchi,
  • Mohammad Sababheh

摘要

The main goal of this article is to present more refined bounds for log-convex functions. The significance of the obtained results lies in their potential applications, which can help derive new relationships among real numbers, functions, and other mathematical objects. In this paper, we focus on applications to functions and matrices, where we achieve significant improvements over well-known results in the existing literature.