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<p>This work focuses on Ostrowski-type inequalities on time scales for bounded variation functions. We present a generalization of the classical Ostrowski inequality and explore its applications in numerical analysis and probability theory, highlighting the role of bounded variation in the time scale setting.</p>

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A GENERALIZED OSTROWSKI INEQUALITY FOR BOUNDED VARIATION FUNCTIONS ON TIME SCALES WITH APPLICATIONS

  • 期刊论文

  • 发表日期：

    2026年2月12日

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  • Karim A. Mohamed,
  • Haytham M. Rezk,
  • Ahmed M. Ahmed,
  • Belal A. Glalah

摘要

This work focuses on Ostrowski-type inequalities on time scales for bounded variation functions. We present a generalization of the classical Ostrowski inequality and explore its applications in numerical analysis and probability theory, highlighting the role of bounded variation in the time scale setting.