An Extended Multiple Hardy-Hilbert’s Integral Inequality

An Extended Multiple Hardy-Hilbert’s Integral Inequality

Year:    2013

Author:    Yong Hong

Communications in Mathematical Research , Vol. 29 (2013), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2013-CMR-19024

Communications in Mathematical Research , Vol. 29 (2013), Iss. 1 : pp. 14–22

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

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

Author Details

Yong Hong