A half-discrete Hilbert-type inequality in the whole plane with the constant factor related to a cotangent function

DOI10.1186/s13660-023-02951-zOpenAlexW4360826178MaRDI QIDQ6088809

Publication date: 14 December 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-023-02951-z

zbMATH Keywords

Hilbert-type inequality homogeneous kernel Hardy-type inequality nonhomogeneous kernel half-discrete

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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A half-discrete Hilbert-type inequality with a homogeneous kernel and an extension
A unified treatment of half-discrete Hilbert-type inequalities with a homogeneous kernel
Discrete Hilbert-type inequalities with general homogeneous kernels
Extension of Hilbert's inequality
A new multiple half-discrete Hilbert-type inequality with parameters and a best possible constant factor
On half-discrete Hilbert's inequality
On a new generalization of Hardy-Hilbert's inequality and its applications
A Hilbert-type integral inequality under configuring free power and its applications
On a new Hilbert-type integral inequality involving the upper limit functions
On a more accurate half-discrete Hilbert-type inequality involving hyperbolic functions
More accurate and strengthened forms of half-discrete Hilbert inequality
A unified extension of some classical Hilbert-type inequalities and applications
On a Hilbert-type integral inequality in the whole plane related to the extended Riemann zeta function
A Hilbert-type integral inequality in the whole plane related to the hypergeometric function and the beta function
On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Kernel of Hyperbolic Secant Function Related to the Hurwitz Zeta Function
On a new discrete Hilbert-type inequality and its applications
On the extended Hilbert’s inequality
Necessary and sufficient conditions for the validity of Hilbert type integral inequalities with a class of quasi-homogeneous kernels and its application in operator theory
Hilbert-Type Integral Inequalities
On a class of Hilbert-type inequalities in the whole plane involving some classical kernel functions
A Hilbert-type inequality in the whole plane with the constant factor related to some special constants
On a Hilbert-type inequality with the kernel involving extended Hardy operator
On an equivalent property of a reverse Hilbert-type integral inequality related to the extended Hurwitz-zeta function
On a more accurate reverse Hilbert-type inequality in the whole plane

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