On an Extension of a Hardy–Hilbert-Type Inequality with Multi-Parameters

Bicheng Yang, Michael Th. Rassias and Andrei Raigorodskii
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Bicheng Yang: Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China
Michael Th. Rassias: Department of Mathematics and Engineering Sciences, Hellenic Military Academy, 16673 Vari Attikis, Greece
Andrei Raigorodskii: Moscow Institute of Physics and Technology, Institutskiy Per, d. 9, 141700 Dolgoprudny, Russia

Mathematics, 2021, vol. 9, issue 19, 1-16

Abstract: Making use of weight coefficients as well as real/complex analytic methods, an extension of a Hardy–Hilbert-type inequality with a best possible constant factor and multiparameters is established. Equivalent forms, reverses, operator expression with the norm, and a few particular cases are also considered.

Keywords: Hardy–Hilbert-type inequality; weight coefficient; equivalent form; reverse; operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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