An extended Hilbert’s integral inequality in the whole plane with parameters View Full Text


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Article Info

DATE

2018-12

AUTHORS

Leping He, Yin Li, Bicheng Yang

ABSTRACT

By introducing independent parameters and interval variables, applying the weight functions and the technique of real analysis, an extended Hilbert's integral inequality in the whole plane with parameters and a best possible constant factor is provided. The equivalent forms, the reverses, and the related homogeneous forms with particular parameters are considered. Meanwhile, an extended Hilbert's integral operator in the whole plane is defined, and the operator expressions for the equivalent inequalities are obtained. More... »

PAGES

216

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1186/s13660-018-1810-z

DOI

http://dx.doi.org/10.1186/s13660-018-1810-z

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1106262258

PUBMED

https://www.ncbi.nlm.nih.gov/pubmed/30839578


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