A New Reverse Multidimensional Hilbert-Type Inequality with One Partial Sum

Michael Th. Rassias () and Bicheng Yang ()
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Michael Th. Rassias: Hellenic Military Academy, Department of Mathematics and Engineering Sciences
Bicheng Yang: Guangdong University of Education, School of Mathematics

Chapter 23 in Convex and Variational Analysis with Applications, 2026, pp 513-533 from Springer

Abstract: Abstract This study explores a new reverse multidimensional Hilbert-type inequality with one partial sum (for $$p 0)$$ 1 u ( n ) + v ( k ) α λ + m ( λ > 0 ) in the new inequality has two general intermediate variables compared with previous work, and the best value is achieved with certain parameters. Finally, the equivalent forms and some particular cases are presented.

Keywords: Multidimensional hilbert-type inequality; Weight function; Best value; Parameter; Partial sum; 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_23

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DOI: 10.1007/978-3-032-07860-5_23

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