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In this chapter, we introduce some new generalized fractional Hilbert-type integral operators in the Banach spaces. The norm inequalities for these operators are established. The corresponding fractional Hilbert-type integral inequalities with the best possible constant factor are also provided. They are significant improvement and generalizations of many known and new classes of fractional integral operators.

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Generalized Fractional Hilbert-Type Integral Inequalities in Banach Spaces

  • 章节

  • 发表日期：

    2025年

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  • Jichang Kuang,
  • Michael Th. Rassias

摘要

In this chapter, we introduce some new generalized fractional Hilbert-type integral operators in the Banach spaces. The norm inequalities for these operators are established. The corresponding fractional Hilbert-type integral inequalities with the best possible constant factor are also provided. They are significant improvement and generalizations of many known and new classes of fractional integral operators.