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Hardy's Inequality in Several Variables

✍ Scribed by Sh. Salem; Zareen A.A. Khan; Ray Redheffer

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
53 KB
Volume
252
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

We extend Hardy's discrete inequality to multiple series. For an r-fold series the Ε½ . r correct constant is c , where c is the constant in Hardy's original theorem. This

constant is optimum and the inequality is strict unless all variables in it are 0.

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