A class of half-discrete Hilbert-type inequalities in the whole plane involving some classical kernels

DOI10.7153/JMI-2023-17-91OpenAlexW4391457273WikidataQ128885779 ScholiaQ128885779MaRDI QIDQ6200298

Minghui You

Publication date: 29 February 2024

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2023-17-91

zbMATH Keywords

Hilbert-type inequalitypartial fraction expansionwhole planehalf-discrete kernel

Mathematics Subject Classification ID

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

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
• Extension of Hilbert's inequality
• On half-discrete Hilbert's inequality
• On a new generalization of Hardy-Hilbert's inequality and its applications
• Half-discrete Hilbert-type inequalities with mean operators, the best constants, and applications
• More accurate and strengthened forms of half-discrete Hilbert inequality
• A unified extension of some classical Hilbert-type inequalities and applications
• 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
• An extension of the Hilbert-type inequality and its reverse
• 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

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