A half-discrete Hilbert-type inequality in the whole plane related to the Riemann zeta function
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Publication:3177604
DOI10.1080/00036811.2017.1313411zbMath1393.26028OpenAlexW2605069301MaRDI QIDQ3177604
Bicheng Yang, Michael Th. Rassias
Publication date: 1 August 2018
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2017.1313411
Riemann zeta functionweight functionequivalent formHermite-Hadamard inequalityhalf-discrete Hilbert-type inequality
Related Items (4)
A new Hardy-Mulholland-type inequality with a mixed kernel ⋮ On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Hyperbolic Tangent Function and Parameters ⋮ The equivalent parameter conditions for constructing multiple integral half-discrete Hilbert-type inequalities with a class of nonhomogeneous kernels and their applications ⋮ Conditions for the validity of a class of optimal Hilbert type multiple integral inequalities with nonhomogeneous kernels
Cites Work
- A Hilbert-type integral inequality in the whole plane with a non-homogeneous kernel and a few parameters
- A multidimensional half-discrete Hilbert-type inequality and the Riemann zeta function
- On a multidimensional half-discrete Hilbert-type inequality related to the hyperbolic cotangent function
- A discrete Hilbert-type inequality in the whole plane
- A new Hilbert-type integral inequality in the whole plane with the non-homogeneous kernel
- Some properties of a hypergeometric function which appear in an approximation problem
- On half-discrete Hilbert's inequality
- Recent developments of Hilbert-type discrete and integral inequalities with applications
- A Hilbert-type integral inequality in the whole plane related to the hypergeometric function and the beta function
- On the norm of an integral operator and applications
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