On a Reverse Hilbert-Type Inequality in the Whole Plane with Multi-Parameters

Michael Th. Rassias (), Bicheng Yang () and Andrei Raigorodskii ()
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Michael Th. Rassias: Hellenic Military Academy
Bicheng Yang: Guangdong University of Education
Andrei Raigorodskii: Moscow Institute of Physics and Technology

A chapter in Exploring Mathematical Analysis, Approximation Theory, and Optimization, 2023, pp 259-278 from Springer

Abstract: Abstract In the present paper we make use of weight coefficients and methods from real and complex analysis, in order to establish a reverse Hilbert-type inequality in the whole plane with multi-parameters. The corresponding constant factor of the inequality is proved to be the best possible. Moreover, we also consider equivalent forms and a few particular inequalities.

Keywords: Hilbert-type inequality; Weight coefficient; Equivalent form; Parameter; Reverse; 26D15; 47A05 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-46487-4_14

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DOI: 10.1007/978-3-031-46487-4_14

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