On a more accurate half-discrete Hilbert-type inequality involving hyperbolic functions

DOI10.1515/MATH-2022-0041zbMath1496.26041OpenAlexW4288064414WikidataQ115514341 ScholiaQ115514341MaRDI QIDQ2084174

Xiansheng Fan, Minghui You, Xia Sun

Publication date: 18 October 2022

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2022-0041

zbMATH Keywords

Bernoulli numberHermite-Hadamard inequalityHilbert-type inequalityhyperbolic functionrational fraction expansion

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for sums, series and integrals (26D15) Exponential and trigonometric functions (33B10)

Related Items (2)

A half-discrete Hilbert-type inequality in the whole plane with the constant factor related to a cotangent function ⋮ A new reverse Mulholland’s inequality with one partial sum in the kernel

Cites Work

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• A generalization of a half-discrete Hilbert's inequality
• A unified treatment of half-discrete Hilbert-type inequalities with a homogeneous kernel
• A Hilbert-type integral inequality with the mixed kernel of multi-parameters
• A new more accurate half-discrete Hilbert-type inequality
• 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
• Inequalities similar to certain extensions of Hilbert's inequality
• On a new generalization of some Hilbert-type inequalities
• A class of Hilbert-type multiple integral inequalities with the kernel of generalized homogeneous function and its applications
• Extensions of Hermite-Hadamard inequalities for harmonically convex functions via generalized fractional integrals
• Inequalities of Hardy type via superquadratic functions with general kernels and measures for several variables on time scales
• A Hilbert-type integral inequality in the whole plane related to the hypergeometric function and the beta 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
• Two kinds of the reverse Hardy-type integral inequalities with the equivalent forms related to the extended Riemann zeta function
• On a Hilbert-type inequality with the kernel involving extended Hardy operator
• On a Hilbert-type integral inequality with non-homogeneous kernel of mixed hyperbolic functions
• On an equivalent property of a reverse Hilbert-type integral inequality related to the extended Hurwitz-zeta function
• On some higher-dimensional Hilbert's and Hardy-Hilbert's integral inequalities with parameters

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