Equivalent Conditions of a Reverse Hilbert-Type Integral Inequality with the Kernel of Hyperbolic Cotangent Function Related to the Riemann Zeta Function

Bicheng Yang ()
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Bicheng Yang: Guangdong University of Education, Department of Mathematics

A chapter in Trigonometric Sums and Their Applications, 2020, pp 289-305 from Springer

Abstract: Abstract By the use of techniques of real analysis and weight functions, we study some equivalent conditions of a reverse Hilbert-type integral inequality with the non-homogeneous kernel of hyperbolic cotangent function, related to the Riemann zeta function. Some equivalent conditions of a reverse Hilbert-type integral inequality with the homogeneous kernel are deduced. We also consider some particular cases.

Keywords: Reverse Hilbert-type integral inequality; Weight function; Equivalent form; Homogeneous kernel; 26D15 (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-37904-9_14

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DOI: 10.1007/978-3-030-37904-9_14

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