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<p>This article introduces the Giaccardi inequality using isotonic linear functionals and <i>h</i>-convexity. This work includes both discrete and integral variants of this inequality. The important Petrović inequality is deduced as a special case. For some applications, the established inequalities are extended to time scales.</p>

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Unified discrete and integral Giaccardi inequalities under the isotonic linear functionals and their applications in different time scales

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月13日

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  • Muhammad Samraiz,
  • Hafiz Ali Hamza,
  • Shahram Rezapour,
  • Saima Naheed

摘要

This article introduces the Giaccardi inequality using isotonic linear functionals and h-convexity. This work includes both discrete and integral variants of this inequality. The important Petrović inequality is deduced as a special case. For some applications, the established inequalities are extended to time scales.