Equivalent Properties of Parameterized Hilbert-Type Integral Inequalities

Bicheng Yang ()
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Bicheng Yang: Guangdong University of Education

A chapter in Mathematical Analysis and Applications, 2019, pp 639-676 from Springer

Abstract: Abstract By the use of the techniques of real analysis and the weight functions, a few equivalent statements of a general Hilbert-type integral inequality with the nonhomogeneous kernel related to another inequality, the parameters and the integral of kernel are obtained. The best possible constant factor is given. As a corollary, a few equivalent statements of a general Hilbert-type integral inequality with the homogeneous kernel and a best possible constant factor are deduced. Moreover, we also study the case of the reverses. The operator expressions, a few particular cases and some examples are considered.

Keywords: 26D15; 47A07 (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-31339-5_23

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DOI: 10.1007/978-3-030-31339-5_23

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