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A refined Hardy-Littlewood-Polya inequality and the equivalent forms - MaRDI portal

A refined Hardy-Littlewood-Polya inequality and the equivalent forms (Q5877857)

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scientific article; zbMATH DE number 7654371

Language	Label	Description	Also known as
English	A refined Hardy-Littlewood-Polya inequality and the equivalent forms	scientific article; zbMATH DE number 7654371

Statements

scholarly article

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A refined Hardy-Littlewood-Polya inequality and the equivalent forms (English)

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Journal of Mathematical Inequalities

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publication date

16 February 2023

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zbMATH Keywords

weight coefficient

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Hardy-Littlewood-Polya inequality

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Euler-Maclaurin summation formula

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parameter

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.7153/jmi-2022-16-96

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A new discrete Hilbert-type inequality involving partial sums

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The connection between Hilbert and Hardy inequalities

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Hilbert-type inequalities involving differential operators, the best constants, and applications

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Equivalent parameter conditions for the validity of half-discrete Hilbert-type multiple integral inequality with generalized homogeneous kernel

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A new extension of a Hardy-Hilbert-type inequality

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A multiple Hilbert-type discrete inequality with a new kernel and best possible constant factor

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The necessary and sufficient conditions for the existence of a kind of Hilbert-type multiple integral inequality with the non-homogeneous kernel and its applications

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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

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Equivalent property of a half-discrete Hilbert's inequality with parameters

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Conditions for the validity of a class of optimal Hilbert type multiple integral inequalities with nonhomogeneous kernels

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The equivalent parameter conditions for constructing multiple integral half-discrete Hilbert-type inequalities with a class of nonhomogeneous kernels and their applications

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Extension of Hilbert's inequality

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Multiple Hilbert's type inequalities with a homogeneous kernel

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On half-discrete Hilbert's inequality

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On a multidimensional half-discrete Hilbert-type inequality related to the hyperbolic cotangent function

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Equivalent property of a Hilbert-type integral inequality related to the beta function in the whole plane

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On a Hilbert-type inequality with the kernel involving extended Hardy operator

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.7153/JMI-2022-16-96

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Sitelinks

Mathematics(1 entry)

mardi Publication:5877857

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