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

Bicheng Yang

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

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

Bicheng Yang

https://doi.org/10.1007/978-3-030-37904-9_14

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Publication Date: Jan 1, 2020

Affiliation: Guangdong University Of Finances and Economics, Guangdong University of Education

#Hilbert-type Inequality #Conditions Of Inequality + Show 8 more

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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.

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