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The Gronwall-Bellman inequality in several variables

✍ Scribed by Cheh-Chih Yeh; Mau-Hsiang Shih


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
349 KB
Volume
86
Category
Article
ISSN
0022-247X

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Hardy's Inequality in Several Variables
✍ Sh. Salem; Zareen A.A. Khan; Ray Redheffer πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 53 KB

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.