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<p>In this paper, the standard two-points Fenchel’s inequality is extended to a four-points version satisfying Sherman’s majorization condition. A corresponding extension of Young’s inequality is also shown. The problem of refining the standard Fenchel inequality is discussed.</p>

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A majorization extension of Fenchel’s and Young’s results with a control map

  • 期刊论文

  • 发表日期：

    2025年6月28日

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  • Marek Niezgoda

摘要

In this paper, the standard two-points Fenchel’s inequality is extended to a four-points version satisfying Sherman’s majorization condition. A corresponding extension of Young’s inequality is also shown. The problem of refining the standard Fenchel inequality is discussed.