On a Relation Between the Hardy–Hilbert and Gabriel Inequalities

Vandanjav Adiyasuren () and Tserendorj Batbold ()
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Vandanjav Adiyasuren: National University of Mongolia
Tserendorj Batbold: National University of Mongolia

A chapter in Handbook of Functional Equations, 2014, pp 1-13 from Springer

Abstract: Abstract In this chapter, we establish some new generalizations of Azar’s results, which are relations between the Hardy–Hilbert inequality and the Gabriel inequality. As an application, we obtain a sharper form of the general Hardy-Hilbert inequality. The integral analogues of our main results are also given. Some Gabriel-type inequalities are also considered.

Keywords: The Hardy–Hilbert inequality; The Gabriel inequality; The Hölder inequality; Hardy’s method (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4939-1246-9_1

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DOI: 10.1007/978-1-4939-1246-9_1

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