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An integral inequality for normal contact Riemannian manifolds and its applications

✍ Scribed by Hillel Gauchman


Publisher
Springer
Year
1987
Tongue
English
Weight
206 KB
Volume
23
Category
Article
ISSN
0046-5755

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An inequality for increasing sequences a
✍ Horst Alzer πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 204 KB

We prove the following results: (i) Let p> 1 be a real number and let n>2 be an integer. If (Ui) (i=O,l,..., n) is an increasing sequence of real numbers, then i: iai-oi-l)a'l+l-i~c~,~[ i~l(ui-ai-l~a~~l-i ' 1 (aO=o) i=l holds with Cn,p= 1. (ii) Let p > 1 be a real number. IffE L' [0, l] is nonnegati