On a class of Hilbert-type inequalities in the whole plane related to exponent function

DOI10.1186/S13660-021-02563-5zbMath1504.26030OpenAlexW3163975023MaRDI QIDQ2072790

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/s13660-021-02563-5

zbMATH Keywords

Euler number Bernoulli number Hilbert-type inequality partial fraction expansion exponent function

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Inequalities for sums, series and integrals (26D15) Inequalities involving other types of functions (26D07)

Related Items (2)

On a class of Hilbert-type inequalities in the whole plane involving some classical kernel functions ⋮ On a half-discrete Hilbert-type inequality related to hyperbolic functions

Cites Work

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 Hilbert's integral inequality
On new generalizations of Hilbert's inequality and their 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 Hilbert-type integral inequality related to the extended Hurwitz zeta function in the whole plane
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
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
An extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel
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
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