A New Hardy–Hilbert’s Integral Inequality with Two Internal Variables Involving Two Extended Derivative Functions of Higher-Order

B. C. Yang () and M. Th. Rassias ()
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B. C. Yang: Guangdong University of Education, School of Mathematics
M. Th. Rassias: University of Zurich, Institute of Mathematics

Chapter 31 in Convex and Variational Analysis with Applications, 2026, pp 801-818 from Springer

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

Keywords: Weight function; Hardy–Hilbert’s integral inequality; Derivative function of higher-order; Parameter; Gamma function; Beta function; Reverse; 26D15 (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-032-07860-5_31

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DOI: 10.1007/978-3-032-07860-5_31

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