On a half-discrete Hilbert-type inequality related to hyperbolic functions

DOI10.1186/S13660-021-02688-7zbMath1504.26031OpenAlexW3200449612WikidataQ115519115 ScholiaQ115519115MaRDI QIDQ2072949

Publication date: 26 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-021-02688-7

zbMATH Keywords

hyperbolic functions Bernoulli number Hilbert-type inequality half-discrete rational fraction expansion

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Inequalities involving other types of functions (26D07)

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
On new extensions of Hilbert's inequality
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
New extensions of Hilbert's inequality with multiple parameters
On Hilbert's integral inequality
On a new generalization of Hardy-Hilbert's inequality and its applications
On the extended Hardy-Hilbert's inequality
On new generalizations of Hilbert's inequality and their 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
A class of Hilbert-type multiple integral inequalities with the kernel of generalized homogeneous function and its applications
On a class of Hilbert-type inequalities in the whole plane related to exponent function
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 Hilbert-type integral inequality related to the extended Hurwitz zeta function in the whole plane
On a new extension of Hilbert's inequality with some parameters
On a dual Hardy-Hilbert's inequality and its generalization
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
Two kinds of the reverse Hardy-type integral inequalities with the equivalent forms related to the extended Riemann zeta function
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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