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<p>By replacing the convexity of Young’s function with first type <i>s</i>-convexity, we construct a novel function space that generalize the classical Orlicz space, which we called as <i>s</i>-Orlicz space. Several essential properties such as completeness, inclusion, and Hölder’s type inequality have been established. This novel concept unlock a new branch in function space arising in harmonic analysis study field.</p>

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First type s-Orlicz space: completeness, inclusion, and s-Hölder inequality

  • 期刊论文

  • 发表日期：

    2026年2月16日

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  • Sofihara Al Hazmy,
  • Al Azhary Masta,
  • Mochammad Idris

摘要

By replacing the convexity of Young’s function with first type s-convexity, we construct a novel function space that generalize the classical Orlicz space, which we called as s-Orlicz space. Several essential properties such as completeness, inclusion, and Hölder’s type inequality have been established. This novel concept unlock a new branch in function space arising in harmonic analysis study field.