A Hardy-Hilbert’s Integral Inequality with the Internal Variables Involving Two Derivative Functions

Bicheng Yang () and Michael Th. Rassias ()
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Bicheng Yang: Guangdong University of Education, Guangzhou
Michael Th. Rassias: University of Zurich

A chapter in Geometry and Non-Convex Optimization, 2025, pp 879-895 from Springer

Abstract: Abstract By means of the weight functions, the idea of introducing parameters, and the techniques of real analysis, a new Hardy-Hilbert’s integral inequality with the internal variables involving two derivative functions is obtained. The equivalent statements of the best possible constant factor related to multi-parameters are considered. Some particular inequalities and the case of reverses are provided.

Keywords: Weight function; Hardy-Hilbert’s integral inequality; Derivative function; Parameter; Internal variable; Operator expression; Reverse (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_19

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DOI: 10.1007/978-3-031-87057-6_19

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