Generalized Fractional Hilbert-Type Integral Inequalities in Banach Spaces

Jichang Kuang () and Michael Th. Rassias ()
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Jichang Kuang: Hunan Normal University
Michael Th. Rassias: Hellenic Military Academy

A chapter in Geometry and Non-Convex Optimization, 2025, pp 237-261 from Springer

Abstract: Abstract 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.

Keywords: Hilbert type integral inequality; Fractional integral operator; Norm (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-87057-6_9

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DOI: 10.1007/978-3-031-87057-6_9

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