An Extended Multidimensional Half-Discrete Hardy–Hilbert-Type Inequality with a General Homogeneous Kernel

Bicheng Yang ()
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Bicheng Yang: Guangdong University of Education

A chapter in Differential and Integral Inequalities, 2019, pp 831-854 from Springer

Abstract: Abstract By the use of the weight functions, the transfer formula, and the technique of real analysis, an extended multidimensional half-discrete Hardy–Hilbert-type inequality with a general homogeneous kernel and a best possible constant factor is given, which is an extension of a published result. Moreover, the equivalent forms, a few particular cases, and the operator expressions with some examples are considered.

Keywords: 26D15; 47A05 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/978-3-030-27407-8_29

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