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<p>In this article, we focus on establishing a new variant of Hermite-Hadamard type inequalities for operator convex maps using an appropriate probability measure. To underline the usefulness of these inequalities, we investigate some refinements of some well-known operator inequalities, as well as the definition of new weighted operator means.</p>

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A New Variant of Weighted Hermite-Hadamard Inequalities and Applications

  • 期刊论文

  • 发表日期：

    2025年12月3日

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  • Mustapha Raïssouli,
  • Lahcen Tarik,
  • Mohamed Chergui

摘要

In this article, we focus on establishing a new variant of Hermite-Hadamard type inequalities for operator convex maps using an appropriate probability measure. To underline the usefulness of these inequalities, we investigate some refinements of some well-known operator inequalities, as well as the definition of new weighted operator means.