Hilbert’s inequalities with alternating signs

Zhao, Chang-Jian; Cheung, Wing-Sum

doi:10.1007/s10998-021-00438-2

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2022

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“…In 2013, Yang [25] also studied the equivalence of ( 6) and (7) by adding a condition h(u) = k λ (u, 1). In 2017, Hong [9] studied an equivalent condition for (6) involving certain parameters, and some further related results were established in [4], [5], [15], [29], [28].…”

Section: Introductionmentioning

confidence: 99%

An equivalent property of a Hilbert-type integral inequality and its applications

Yang

Andrica

Bagdasar

et al. 2022

APPL ANAL DISCRETE M

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Making use of complex analytic techniques as well as methods involving weight functions, we study a few equivalent conditions of a Hilbert-type integral inequality with nonhomogeneous kernel and parameters. In the form of applications we deduce a few equivalent conditions of a Hilbert-type integral inequality with homogeneous kernel, and we additionally consider operator expressions.

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