On a Few Equivalent Statements of a Hilbert-Type Integral Inequality in the Whole Plane with the Hurwitz Zeta Function

Themistocles M. Rassias () and Bicheng Yang ()
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Themistocles M. Rassias: National Technical University of Athens
Bicheng Yang: Guangdong University of Education

A chapter in Analysis and Operator Theory, 2019, pp 319-352 from Springer

Abstract: Abstract In the present paper, we prove some equivalent statements of a Hilbert-type integral inequality in the whole plane with intermediate variables. In our theorems, the constant factor is associated to the Hurwitz zeta function and we prove that it is the best possible. We also derive various special cases and applications.

Keywords: Hilbert-type integral inequality; Hurwitz zeta function; Intermediate variable; Equivalent statement; Operator; 26D15; 47A07 (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-12661-2_15

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DOI: 10.1007/978-3-030-12661-2_15

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