On a Hilbert-Type Integral Inequality in the Whole Plane Related to the Extended Riemann Zeta Function

Michael Th. Rassias () and Bicheng Yang ()
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Michael Th. Rassias: University of Zurich
Bicheng Yang: Guangdong University of Education

A chapter in Mathematical Analysis and Applications, 2019, pp 511-528 from Springer

Abstract: Abstract By the use of the methods of real analysis and the weight functions, a few equivalent conditions of a Hilbert-type integral inequality with the nonhomogeneous kernel in the whole plane are obtained. The best possible constant factor is related to the extended Riemann zeta function. As applications, a few equivalent conditions of a Hilbert-type integral inequality with the homogeneous kernel in the whole plane are deduced. We also consider the operator expressions and a few particular cases.

Keywords: 26D15; 47A07; 65B10 (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-31339-5_19

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DOI: 10.1007/978-3-030-31339-5_19

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