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Volume 29, Issue 1
An Extended Multiple Hardy-Hilbert’s Integral Inequality

Yong Hong

Commun. Math. Res., 29 (2013), pp. 14-22.

Published online: 2021-05

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  • Abstract

In this paper, by introducing the norm $∥x∥_α (x ∈ \boldsymbol{R}^n)$, a multiple Hardy-Hilbert's integral inequality with the best constant factor and it's equivalent form are given.

  • Keywords

multiple Hardy-Hilbert's integral inequality, weight function, best constant factor, $β$-function, $Γ$-function.

  • AMS Subject Headings

26D15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-29-14, author = {Yong and Hong and and 18903 and and Yong Hong}, title = {An Extended Multiple Hardy-Hilbert’s Integral Inequality}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {29}, number = {1}, pages = {14--22}, abstract = {

In this paper, by introducing the norm $∥x∥_α (x ∈ \boldsymbol{R}^n)$, a multiple Hardy-Hilbert's integral inequality with the best constant factor and it's equivalent form are given.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19024.html} }
TY - JOUR T1 - An Extended Multiple Hardy-Hilbert’s Integral Inequality AU - Hong , Yong JO - Communications in Mathematical Research VL - 1 SP - 14 EP - 22 PY - 2021 DA - 2021/05 SN - 29 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19024.html KW - multiple Hardy-Hilbert's integral inequality, weight function, best constant factor, $β$-function, $Γ$-function. AB -

In this paper, by introducing the norm $∥x∥_α (x ∈ \boldsymbol{R}^n)$, a multiple Hardy-Hilbert's integral inequality with the best constant factor and it's equivalent form are given.

Yong Hong. (2021). An Extended Multiple Hardy-Hilbert’s Integral Inequality. Communications in Mathematical Research . 29 (1). 14-22. doi:
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